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Given the measure of one interior angle of a REGULAR n-gon is 165 degrees, find the number of sides
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Given the measure of one interior angle of a REGULAR n-gon is 165 degrees, find the number of sides

User Meblum
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3 votes

the formula is


\begin{gathered} 165=180*(n-2)/(n) \\ 165* n=180(n-2) \\ 165n=180n-360 \\ 165n-180n=180n-360-180n \\ -15n=-360 \\ -(15n)/(-15)=-(360)/(-15) \\ n=24 \end{gathered}

answer: 24 sides

User Glogic
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