One angle of a six-sided polygon is 140° and the other angles are equal. Find the measure of each equal angle.
Rectilinear Figures
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Question

One angle of a six-sided polygon is 140° and the other angles are equal. Find the measure 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 a six-sided polygon = [2 × 6 - 4] × 90° = [12 - 4] × 90° = 8 × 90° = 720°. Given, One angle of a six-sided polygon is 140° and the other angles are equal. ∴ 140° + 5x = 720° ⇒ 5x = 720° - 140° ⇒ 5x = 580° ⇒ x = = 116°. Hence, each equal angle of a six-sided polygon = 116°.

Mathematics

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

Rectilinear Figures

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