Two angles of a triangle have equal measures, but the third angle's measure is 36° less than the sum of the other two. How do you find the measure of each angle of the triangle?
1 Answer
Mar 19, 2016
The three angles are 54, 54 and 72
Explanation:
The sum of the angles in a triangle is 180
Let the two equal angles be x
Then the third angle equal to 36 less than the sum of the other angles is 2x - 36
and x + x + 2x - 36 =180
Solve for x
4x -36 =180
4x = 180 + 36 = 216
x =
So 2x - 36 =
CHECK: The three angle are 54 + 54 + 72 = 180, so answer correct
