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Question -

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



Answer -

Interior angle = 165┬░
Exterior angle = 180┬░ тАУ 165┬░ = 15┬░
Number of sides = sum of exterior angles/ exterior angles
тЗТ Number of sides = 360/15 = 24
Thus, the regular polygon has 24 sides.

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