Angles with Triangles and Polygons Geometry Angles and Intersecting Lines Angles with Triangles and Polygons Questions How do you classify the triangle given 2 cm, 2 cm, 2 cm? The angles of a triangle have the ratio 3:2:1. What is the measure of the smallest angle? Is an equilateral triangle is sometimes, never or always an isosceles triangle? What is an isosceles triangle? How do I prove that these are the vertices of an isosceles triangle: (-3,0), (0,4), (3,0)? Is it possible to have an isosceles scalene triangle? How would you show that a triangle with vertices (13,-2), (9,-8), (5,-2) is isosceles? An isosceles right triangle has legs that are each 4cm. What is the length of the hypotenuse? Triangle XYZ is isosceles. The base angles, angle X and angle Y, are four times the measure of the vertex angle, angle Z. What is the measure of angle X? What is the isosceles triangle theorem? Are all isosceles triangles right-angled? What an isosceles obtuse triangle? Is an isosceles triangle always, sometimes or never a right triangle? Are all isosceles triangles acute? How would I prove that if the base angles of a triangle are congruent, then the triangle is isosceles? Please provide a two column proof. An isosceles triangle has a height of 8 and base of 30. What are all three angles of this triangle? If a triangle has sides of length 8cm, 8cm, and 5cm, how do I find the measure of the angle between the two equal sides? An isosceles triangle has 2 sides equal to 0.96 inches and the measure of the angle between them is 104.5 degrees. What is the measure of the third side? Please show work. The sail on a toy boat is in the shape of an isosceles triangle. Its legs are 12 inches long and its base angles measure 70 degrees. How long to the nearest hundredth of an inch, is the base of the sail? If either side of an isosceles triangle measures 24 inches and its base measures 16 inches, then what are its angles? How would you describe the angles and sides of an acute, isosceles triangle? What is one proof of the converse of the Isosceles Triangle Theorem? Can you dissect an equilateral triangle into acute isosceles triangles? What is the minimum number of acute isosceles triangles that the original triangle could be dissected into? In an isosceles triangle, the vertex angle is twice the each base angle. What is the vertex angle? Does the altitude of an isosceles triangle bisect the base? Please explain. I would like to draw an isosceles triangle with the vertex measuring 75 degrees. Whats is the measure of each base angle? In an isosceles triangle, each base angle is 30 degrees more than the vertex angle. What are the measures of the three angles? What is the measure of a base angle of an isosceles triangle if its vertex angle measures 50 degrees? If the largest angle of an isosceles triangle measures 106 degrees, what is the measure of the smallest angle? What is the area of this regular hexagon? How would I find the area of this hexagon? What is the area of this hexagon? What is the area of this hexagon? What is the area of a hexagon with side a length of 14? How do you calculate the height of an equilateral triangle? How do you calculate the perimeter of an equilateral triangle? How do you draw an equilateral triangle in a circle? How do you draw an equilateral triangle without a compass? How do you an equilateral triangle is equilateral? Why must all equilateral triangles be similar? Why are all equilateral triangles acute? Why do equilateral triangles tessellate? Why are equilateral triangles equiangular? When is a triangle equilateral? How many acute angles can a convex polygon have? How many acute angles can a quadrilateral have? How many acute angles can a right triangle have? How many acute angles can a scalene triangle have? How many acute angles can an isosceles triangle have? How many acute angles does a hexagon have? How many acute angles does a parallelogram have? How many acute angles does a trapezoid have? How many obtuse angles can a parallelogram have? How many obtuse angles can a right triangle have? How many obtuse angles can an equilateral triangle have? How many obtuse angles does a hexagon have? How many obtuse angles does a parallelogram have? How many obtuse angles does a trapezoid have? How many obtuse angles does a triangle have? How many obtuse angles in a regular pentagon? Why can't two obtuse angles be supplementary? How do I find the base angle of an isosceles trapezoid with bases 10 and 18 in length and a leg that is 8 in length? In isosceles triangle ABC, B is the vertex. The measure of angle B can be represented as (4x-2). The measure of angle A can be represented as (8x+1). Find the measure of all three angles of the triangle? The sum of two angles in a triangle totals 62.5 degrees. What is the other angle's measure? What is the measure of one angle of a regular 12-sided polygon? Each interior angle of a regular polygon lies between 136 to 142. How do we calculate the sides of the polygon? What is a regular polygon? Does anyone know of a theorem or equation that will determine how many diagonals a polygon has, without having to do a drawing to see how many there are? A polygon has n sides. Three of its exterior angels are 70 degrees, 80 degrees and 90 degrees. The remaining #(n-3)# exterior angels are each 15 degrees. How many sides does this polygon have? Each exterior angle of a regular polygon measures 20. How many sides does the polygon have? How do you find the measure of each exterior angle of a polygon? Name a polygon with 4 sides, none of which are the same size? How do you find the measure of each interior angle of a polygon? I am a polygon. I am a quadrangle. All of my sides are the same length. What am I? What is the relationship between the number of sides a polygon has and its vertices? Find the sum of the interior angles of a polygon with 23 sides? What is the difference between an equiangular polygon, an equilateral polygon, and a regular polygon? Provide an example of each. A regular polygon has 21 sides. Find the size of each interior angle? A regular polygon has 11 sides. Find the size of each interior angle? How many diagonals are there in a 50-sided polygon? Each exterior angle of a regular polygon is 18 degrees. How many sides does the polygon have? Solve the riddle: I am a polygon. I have two right angles. I have only one pair of parallel sides. What am I? If I wanted to find the interior angle sum of a polygon with 102 sides, what would it be? How do you find the area of a 4-sided polygon? If the sum of interior angle measures of a polygon is 900, how many sides does the polygon have? The sum of the interior angles of a polygon is 4860 degrees. How many sides does the polygon have? What is the measure of each exterior angle of a regular 15-sided polygon? Is a rectangle a regular polygon? What is the sum of the exterior angles of a polygon with 4 sides? 5 sides? 6 sides? n sides? What is the formula for finding exterior and interior angles of a polygon? Is an isosceles triangle a polygon? The sum of a polygon’s interior angle measures is 2340 degrees. What kind of polygon is it? A polygon has 6 sides. How would I find the measure of each exterior and interior angle? What is the polygon angle-sum theorem? A regular hexagon and a regular octagon share a side. What is the measure of x, the angle between a side of the hexagon and a side of the octagon? What is the sum of the interior angles of a hendecagon? A picture frame is shaped as a heptagon. The measure of one angle is 144°. The remaining interior angles are congruent. What is the measure of each remaining interior angle in the picture frame? What is the sum of the measures of the interior angles of a pentagon? What is a convex polygon? You need to construct a regular polygon. When you draw two sides, the interior angle created between them is 120°. What will be the sum, in degrees, of the measures of the interior angles of this polygon when it is completed? What is the difference between a convex polygon and a concave polygon? What is a one-sided polygon called? I am a polygon. I have five sides that equal the same, and five angles that measure the same. What am I? What is the sum of the measures of the interior angles of a regular polygon where a single exterior angle measures 72°? The sum of the measures of the interior angles of a polygon is 720°. What type of polygon is it? An equilateral triangle is an example of what kind of polygon? Convex, concave or irregular? What is the measure of an interior angle of a regular polygon with 20 sides? If the sum of the interior angles of a polygon is 720°, what type of polygon is it? Find the area of a polygon with the given vertices? A(1, 4), B(-2, -2) C(-7, -2), D(-4, 4) Please show work. One exterior angle of a regular polygon measures 30. What is the sum of the polygon's interior angle measures? One exterior angle of a regular polygon measures 40. What is the sum of the polygon's interior angle measures? Please show working. What is a polygon with equal sides but unequal angles? What is a polygon with unequal sides but equal angles? Is a circle a regular polygon? What do you call a polygon with 20 sides? The measure of an interior angle of a regular polygon is 160. How many sides does the polygon have? An exterior angle of a regular polygon is 15 degrees. How many sides does the polygon have? An exterior angle of a regular polygon is 15 degrees. How many sides does the polygon have? Explain how a triangle is a special kind of polygon? How does an equilateral triangle differ from a scalene triangle? What is a non-polygon? I am a polygon, I have five sides that equal the same, and five angles that measure the same. What am I? What do you call a seven sided shape? What is the measure of each angle in a regular polygon with 18 sides? What is a 4 sided polygon? What is an 11 and 12 sided shape called? What is the measure of one of the exterior angles of a regular polygon with ten sides? What is interior angle of a polygon with 35 sides? One exterior angle of a regular polygon measures 36. What is the sum of the polygon's interior angle measures? What is the measure of each interior angle of an 18 sided polygon? What is the angle sum of a polygon with 9 sides? What is the total degrees of a 12-sided polygon? What is the sum of the measures, in degrees, of the interior angles of a 20-sided polygon? What is an 18 sided polygon called? What is the sum of the angles in a 7 sided polygon? What is the measure of one interior angle of a regular 15 sided polygon? How can a polygon be classified? How can polygons be proven to be similar? How can we name a polygon? How do polygons relate to the real world? How do you calculate angles of a polygon? Are all equilateral triangles also isosceles triangles? Are all isosceles triangles equilateral? Is an isosceles scalene triangle possible? How do you find the perimeter of an isosceles triangle whose base is 16 dm and whose height is 15 dm? The congruent sides of an isosceles triangle are 13 cm. If its height is 12 cm, what is the length of the base of the isosceles triangle? How do you show that a triangle with vertices #(13,-2)#, #(9,-8)#, #(5,-2)# is isosceles? How do you find the perimeter and area of an isosceles triangle whose base is 6cm, leg is 5cm and height is 4cm? The sail on a toy boat is in the shape of an isosceles triangle. Its legs are 12 inches long and its base angles measure 70°. How long to the nearest hundredth of an inch, is the base of the sail? How do I prove that #(-3, 0), (0,4), (3,0)# are the vertices of an isosceles triangle? The base of an isosceles triangle is 5, the height lowered from one end of the base is 4. What is the surface area? Are all isosceles triangles acute? What is the difference between an equilateral triangle and an isosceles triangle? If the largest angle of an isosceles triangle measures 106 degrees, what is the measure of the smallest angle? If each of the equal angles of an isosceles triangle measure 25 degrees less than twice the vertex angle, what would the vertex triangle measure? What is the area of the largest isosceles triangle that can be inscribed in a circle of radius 4? What is the value of the hypotenuse of an isosceles triangle with a perimeter equal to #16 + 16sqrt2#? How do isosceles trapezoids relate to parallelograms? How are isosceles and equilateral triangles the same? How are isosceles and scalene triangles different? How are isosceles and scalene triangles the same? How can a trapezoid be isosceles? How can an isosceles triangle be identified? How can an isosceles triangle have a right angle? How can two isosceles triangles be congruent? How do you calculate the base of an isosceles triangle? How do you calculate the height of an isosceles triangle? How do you calculate the perimeter of an isosceles triangle? What does isosceles mean in geometry? Why are isosceles right triangles similar? A triangle is both isosceles and acute. If one angle of the triangle measures 36 degrees, what is the measure of the largest angle(s) of the triangle? What is the measure of the smallest angle(s) of the triangle? An isosceles trapezoid has bases of length 23 and 12 centimeters and legs of length 13 centimeters. What is the area of the trapezoid to the nearest tenth? In an isosceles triangle, the base is 28 cm long, and the legs are 17 cm long. Now do you find the measure of a base angle to the nearest degree? How do you find the perimeter of an isosceles triangle with base of 8 and vertex angle of 20°? Consider a isosceles right triangle with hypotenuse length of 10. Exactly how long are the legs? How do you find the area of a isosceles triangle with base 10 and perimeter 36? In an isosceles triangle, if the measure of a base angle is 74°, what is the measure of the vertex angle? What is the sum of the interior angles of a isosceles trapezoid? Can an acute isosceles triangle have 2 angles that measure 40 degrees? What is the sum of the interior angle measures in a 20-gon? A 50-meter vertical tower is braced with a cable secured at the top of the tower and tied 30 meters from the base. What angle does the cable form with the vertical tower? What is the total area of the object? Question #c78c3 In the triangle embedded in the square what is the measure of angle, #theta#? Draw in the cartesian coordinates the polygon having the following vertices #A(3, 2), B(10, 2), C(10, 7) and D(3, 7)#. What kind of geometric figure did you come up with? Upload your drawing? Question #81ddd Question #390aa Each interior angle of a regular polygon is equal to 172 degrees. Determine the number of sides of the polygon. Explain? Calculate the measure of each exterior angle of a 90 sided regular polygon? Explain. How do I solve this? What is the area of a regular polygon of #n# sides, each of which is #1# unit? Sum of the exterior angles of a heptagon is? 10 circular pieces of paper each of radius 1 cm have been cut out from a piece of paper having a shape of an equilateral triangle. What should be the minimum area of the equilateral triangle? How many sides are in a polygon whose sum of the interior angles is 1440? What is the smallest angle of rotational symmetry that a regular hexagon has? Question #a86ed For a regular 20-sided polygon, what is the degree of rotation? Alicia draws an equilateral triangle and then rotates it about its center. Through which angle measures can she rotate the equilateral triangle to map it onto itself? What is the sum of the measures of the interior angles of an octagon? Enter the measure of each interior angle of a regular octagon? Enter the measure of an exterior angle of a regular pentagon? Question #3d939 Question #5eeaa Question #7dfe9 An obtuse angled triangle has two of its sides #9# and #13#. What is the range for the third side? How much degrees does a pentagon have? I have 6 faces, 8 vertices, and 12 edges. Which figure am l? Question #e8728 Each exterior angle of a certain regular polygon measures 30. How many sides does the polygon have? The measures of two angles of a triangle are 52 and 89. What is the measure of the third angle? The measures of the angles of a triangle are x+2, x+4, and 2x+10. How do you find the measure of each angle? The coordinates of the vertices of a polygon are (0,3), (2,3) (2,0), (1,-4) and (-2,-1). What is the perimeter of the polygon to the nearest tenth of a unit? If #triangleJKL# is an equilateral triangle, JK=13x+5, KL=17x-19, JL=8x+35, how do you find x and the measure of each side? Is there a formula for the area of a regular polygon of side #a# having #n# sides? Can anyone help prove this trigonometric identity? Can anyone include a diagram as part of the explanation here? How to prove this trigonometric identity? Question #c890c Triangle has two sides that have lengths of 17 feet and 22 feet. Which ofthe following lengths could not represent the length of the third side? The sum of the measures of the interior angles of a convex polygon is 540. How do you classify the polygon by the number of sides? The measures of 5 of the interior angles of a hexagon are: 130, 120°, 80. 160 and 155 What is the measure of the largest exterior angle? One of the measures of the angles of a triangle is #25^circ#. If the sum of the measures of the other two angles is #155^circ# and the difference between their measures is #5^circ#, what are the measures of the unknown angles? The ratio of the angle measures in a triangle is 11:14:20. How do you find the angle measures. Then classify the triangle by its angle measures? Which of the following best describes a regular polygon when the measure of each exterior angle is 36? What is the sum of the exterior angle measures for a regular hexagon? The measures of the three angles of a triangle are given by 4x-1, 2x+1, and 6x. What is the measure of the largest angle? How do you find the sum of the interior angle measures in hexagon? How do you find the sum of the interior angle measures in 24-gon? How do you find the sum of the interior angle measures in 48-gon? What is an eight-sided polygon called? Can you construct a triangle that has side lengths 2 in., 3 in., and 6 in.? How do you find the measure of the missing angle in the triangle #10+105+x=180^circ#? A triangle has measures of 15 and 75. What is the angle measure of the third? How do you use what you know about triangles to find the measure of third angle #A=23^circ, B=86^circ, C=x#? How do you find the sum of the interior angle measures of a convex 16 gon? In a triangle ABC, if angle B is obtuse, what types of angles can angles A and C be? If five angles of a heptagon have measures of #80^circ, 85^circ, 175^circ, 90^circ, 140^circ#, and if the other two angles are congruent, what is the measure of each of the other two angles? The coordinates of the vertices of a polygon are (0,3), (2,3) (2,0), (1,-4) and (-2,-1). What is the perimeter of the polygon to the nearest tenth of a unit? John is writing a coordinate proof for one of the properties of an isosceles triangle. He begins by assigning coordinates to two of the vertices of an isosceles triangle. What coordinates should he assign to the third vertex of the isosceles triangle? How many points with integer coordinates are in the triangle with vertices #(0, 0)#, #(0, 21)# and #(21, 0)#, including the points on its boundary? Question #9ee55 In #triangleABC#, the interior angle at A is #51^circ# and the exterior angle at B is #119^circ#. The interior angle at C measures what? In an equilateral triangle, what is the difference be-tween the sum of the exterior angles and the sum of the interior angles? A hexagon has five angles that measure 140° each. What is the measure of the sixth angle? What is the value for y? Explain how you arrived at your answer. What is the length of side BC of the triangle? Explain how you arrived at your answer. What is the length of side BC of the triangle? Explain how you arrived at your answer. How many sides does a regular polygon have if one exterior angle is 72? How many sides does a regular polygon have if one exterior angle is 90? What is one exterior angle of a regular 16-gon measures? In ΔABC, #mangleA=x, mangleB = 2x + 2, mangleC=3x + 4# what is the value of x? What is the internal angle of a regular #17#-sided polygon? Can an equilateral triangle also be isosceles? What is the sum, in degrees, of the measures of the interior angles of a pentagon? Question #4d873 Question #e355e If the individual measure of an angle in a regular polygon is #156°# how many sides does the polygon have? In a regular polygon each interior angle is 135° greater than each exterior angle. How many sides has the polygon? Sum of the interior angles of a polygon is #3060^@#. How many sides does it have? How do you find all the measures of the angles in a triangle that have the ratio of 1:3:5? Solve for x? Show the equation you used and your work. Question #4aaad Question #d4570 In a triangle ABC, angle ABC = 90 and BD is perpendicular to AC. If BD = 8 cm and AD = 4 cm then find the length of CD? Find geometric mean and hence #w# in the following figure? Question #832c6 Question #319ce Question #95c65 What is the measure of each exterior angle of a regular 16-gon? Question #8107e Question #f3da8 Question #1a839 If sum of all the interior angles of a polygon is #2340^@#, how many sides does it have? Question #be4d4 Which 3-dimensional shape has 5 faces, 8 edges, and 6 vertices? Question #2381d Question #f7fee What is the measure of one interior angle in a 24-gon? Question #72b8f Question #95b56 Question #9374e Question #6c18b Question #e730e A 40-foot guy wire is attached to a utility pole to provide support for the pole. The wire forms a 60º angle with the ground. How high up the pole is the wire attached? What is the answer in simplest form? Which is Acute,Obtuse, and Right?(3, 5,and 7)(4.5, 6, and 7.5)(6, 8, and 9)(1.2, 2.5, and 3.1)(8, 15, and 17)(14, 19, and 21) Question #2b4d8 Question #bd668 Question #0b9dd Question #3ccb5 Is my conjecture, that sum of the exterior angles of a polygon is #360^@#, is correct? The sides AB,BC,CA of a triangle ABC have 3,4,5 interior points respectively on them. Find the total number of triangles that can be constructed by using these points as vertices ? Question #7ba0a If the measure of exterior angle of a regular polygon is #1/5# times its interior angle, how many sides does the polygon has? Question #c0cc5 The interior angles of a hexagon are #x+2, x-8, x +7, x -3, x+6, and x -4#. What is the value of #x#? A convex quadrilateral has exterior angle measures, one at each vertex, of 5b+7°, 34b–33°, b+36°, and 37b–35°. What is the value of b? What is the measure of an interior angle of a 21-gon? (Round to the nearest Hundreth)? Work out the size of one interior angle of a regular 15-sided polygon? It is possible to design a regular polygon whose measures of each exterior angle is 50 . Yes /no give reason ? What is the measure of the missing angle in the figure below? Angles and Intersecting Lines View all chapters Angle Basics and Measurements Angles Between Intersecting and Parallel Lines Complementary and Supplementary Angles Angles with Triangles and Polygons Prev