How many sides does a regular polygon have if each of its interior angles is 165 drgèr Question How many sides does a regular polygon have if each of its interior angles is 165 drgèr in progress 0 Math Aubrey 2 weeks 2021-09-10T19:26:16+00:00 2021-09-10T19:26:16+00:00 1 Answer 0 views 0

## Answers ( )

Answer:since the measure of each interior angle is 165 degree , we have

180 degree(n-2)/n = 165 degree

180 degree(n-2) = 165 degree×n

180degree ×n – 360 degree = 165 degree×n

180 degree ×n – 165 degree×n = 360 degree

15 degree ×n = 360 degree

n=24

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