Question

Find the value of each angle of a heptagon If three of its angles measure 132° each and the remaining four.

Answer 1

A heptagon has 7 sides.
∴ Sum of interior angles
= (n - 2) x 180°
= (7 - 2) x 180°
= 5 x 180°
= 900°
Given, four of its angles are equal
Let the equal angles be x each.
∴ 132° + 132° + 132° + x + x + x + x = 900°
⇒ 4x + 396° = 900°
⇒ 4x = 504°
⇒ x = 126°
∴ Measure of each equal angle is 126°.