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          ∘      ?

Shanty4xr · Accepted Answer

Let n be the number of sides. Exterior angle   =      180          ∘        −      165          ∘        =      15          ∘       Sum of exterior angles of a regular polygon   =      360          ∘       Hence, the number of sides  =      Sum of exterior angles    Each exterior angle    =            360              ∘              15    =  24 Hence, the regular polygon has 24 sides.

How many sides does a regular polygon have if each of its interior angles is...

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