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[Solved] How many sides does a regular polygon have if each of its interior angles is 165°?

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How many sides does a regular polygon have if each of its interior angles is 165°?

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Interior angle = 165°

Exterior angle = 180° – 165° = 15°

Number of sides = sum of exterior angles/ exterior angles

⇒ Number of sides = 360/15 = 24

Thus, the regular polygon has 24 sides.

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