Question

One angle of a six-sided polygon is 140^o and the other angles are equal.
Find the measure of each equal angle.

Answer 1

Let the measure of each equal angles are x.
Then we can write
140° + 5x = ( 2 x 6 - 4 ) x 90°
140° + 5x = 720°
           5x = 580°
             x = 116°
Therefore the measure of each equal angles are 116°