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

By formula,

Sum of interior angles of an 'n' sided polygon = (2n - 4) × 90°.

Sum of interior angles of 7 sided polygon = [2 × 7 - 4] × 90°

= [14 - 4] × 90°

= 10 × 90°

= 900°.

Given,

Three angles of a seven sided polygon are 132° each and remaining four angles are equal. Let each equal angle be x.

⇒ 3 × 132° + 4x = 900°

⇒ 396° + 4x = 900°

⇒ 4x = 900° - 396°

⇒ 4x = 504°

⇒ x = $\dfrac{504°}{4}$ = 126°.

Hence, each equal angle = 126°.