If each angle of a polygon is \( \Large 165 ^{\circ} \), then number sides of the polygon is

A) 24

B) 30

C) 35

D) 40

Correct answer:
A) 24

Description for Correct answer:
Exterior angle = \( \Large 180 ^{\circ} - 165 ^{\circ} = 15 ^{\circ} \)

Therefore, Number of sides = \( \Large \frac{360 ^{\circ} }{Exterior\ angle} \)

= \( \Large \frac{360}{15} = 24 \)


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