Question

The interior angle of a regular polygon is 165°.
Find the number of sides of this polygon.

Answer 1

Answer: 24

Step-by-step explanation:

You know that each of the interior angles is 165 degrees so that gives you half of your equation, 165 times n, or 165n. Second, set your interior angles equal to the interior angle formula (n-2)180 = 165n. Last, solve for n. Divide by 15 to get n = 24 sides to the polygon.

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Answer 2

Step-by-step explanation:

180-165

=15

360/15=24

Therefore it has 24 sides

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