Question

How many sides does a regular polygon have if each of its exterior angle is 165​

Answer 1

24

24Complete step-by-step answer:

24Complete step-by-step answer:Let us assume that the number of sides of a regular polygon is represented by n. We know that the measure of each interior angle of a regular polygon the formula is given by 180∘(n−2)n. Thus, the regular polygon with interior angle each measuring 165∘ is a 24-sided polygon.

Answer 2

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How many sides does a regular polygon have if each of its exterior angle is 165

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$\pink{24}$

Let us assume that the number of sides of a regular polygon is represented by n. We know that the measure of each interior angle of a regular polygon the formula is given by 180∘(n−2)n. Thus, the regular polygon with interior angle each measuring 165∘ is a 24-sided polygon.

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