Question

Three angles of a seven-sided polygon are 132^o each and the remaining four angles are equal. Find the value of each equal angle.

Answer 1

Let the measure of each equal angles are x.

Then we can write:

3 × 132° + 4x = (2 × 7 - 4) 90°

4x = 900° - 396°

4x = 504°

x = `(504°)/4`

x = 126°

Thus the measure of each equal angles are 126°.