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The measure of each interior angle of a regular polygon is 157.5 ∘ . How many sides does the polygon have?

The measure of each interior angle of a regular polygon is 157.5 ∘ . How many sides does the polygon have?
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The measure of each interior angle of a regular polygon is 157.5 ∘ . How many sides does the polygon have?

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User Sergej
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1 Answer

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180(n-2)=157.5n

180N-360=157.5n

180N-157.5n=360

22.5N=360

N=360/22.5

N=16

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User Jay Pagnis
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