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

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

KnowledgeBoat · Accepted Answer

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 = = 126°. Hence, each equal angle = 126°.

Mathematics

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

Rectilinear Figures

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