Question

find the number of sides of a regular polygon whose measure of each interior angle is 165​

Answer 1

Answer:

You know that each of the interior angles is 165 degrees

165 times n, or 165n.

set your interior angles equal to the interior angle formula (n-2)180 = 165n.  

Divide by 15 to get n = 24 sides to the polygon

Answer 2

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180 - 165 = 15

Now divide 360 by 15

360/15 = 24 side

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