In a polygon, there are 5 right angles and the remaining angles are equal to 195° each. Find the number of sides in the polygon.
Rectilinear Figures
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Question

In a polygon, there are 5 right angles and the remaining angles are equal to 195° each. Find the number of sides in the polygon.

KnowledgeBoat · Accepted Answer

Let n be the number of sides of the polygon. By formula, Sum of interior angles of an 'n' sided polygon = (2n - 4) × 90°. Given, In the polygon, there are 5 right angles and the remaining angles are equal to 195° each. ∴ 5 × 90° + (n - 5) × 195° = (2n - 4) × 90° ⇒ 450° + 195°.n - 975° = 180°.n - 360° ⇒ 195°.n - 180°.n = 975° - 450° - 360° ⇒ 15°.n = 165° ⇒ n = = 11. Hence, no. of sides in the polygon = 11.

Mathematics

In a polygon, there are 5 right angles and the remaining angles are equal to 195° each. Find the number of sides in the polygon.

Rectilinear Figures

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