If each interior angle of a regular polygon measures 157.5°, how many sides does it have?

Fahmida asked Nov 10, 2023

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Fahmida asked Nov 10, 2023

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12 votes

Explanation:

180(n-2)/n =157.5

180n -360/n=157.5

Cross multiplying

180n -360=157.5n

180n-157.5n=360

22.5n=360

22.5n/22.5=360/22.5

n=16, the number of sides the polygon has is 16

Anam Khoirul answered Nov 13, 2023

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