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

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Aubrey 2 weeks 2021-09-10T19:26:16+00:00 1 Answer 0 views 0

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    2021-09-10T19:27:42+00:00

    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

    I hope you found it helpful

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