What do the interior angles of a polygon have to add up to?
2 Answers
See below.
Explanation:
The sum of interior angles of a polygon is equal to
where
Occours that the number of triangles is equal to the number of sides minus
The final formula is
Examples.
A triangle has
A quadrilateral has
A heptagon has
To determine the sum of the internal angles of a polygon, take the number of sides on the polygon, subtract 2 and multiply by 180 degrees.
Explanation:
A triangle has three sides.
The sum of the internal angles of a triangle is 180 degrees.
A quad lateral has four sides.
The sum of the internal angles of a square is 360 degrees.
A pentagon has 5 sides.
The sum of the internal angles of a pentagon is 540 degrees.
A hexagon has six sides.
The sum of the internal angles of a hexagon is 720 degrees
A heptagon has seven sides.
The sum of the internal angles of a heptagon is 900 degrees.
and so on!