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

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

Grade:12

1 Answers

Anand Kumar Pandey
askIITians Faculty 5818 Points
3 months ago
Dear Student

Interior angle = 165°
Exterior angle = 180° - 165° = 15°
Number of sides = sum of exterior angles/ exterior angles
⇒ Number of sides = 360/15 = 24Thus, the regular polygon has 24 sides.

Thanks

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