Question

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

Answer 1

Hey

Here is your answer,

Solution :

Here, each interior angle = 165°
Hence, each exterior angle = 180° - 165° = 15°
As, measure of each exterior angle = 15°
So, number of sides = 360°/15° = 24
Hence, number of sides = 24

Hope it helps you!

Answer 2

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24

Hence, the regular polygon with interior angle each measuring 165 degrees is a 24-sided polygon.