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3 years ago

Find the exterior angle of a 15-gon

1 answer:

3 0

$\bf \textit{sum of all exterior angles in a polygon}\\\\ n\theta =360~~ \begin{cases} n=\textit{number of}\\ \qquad sides\\ \theta =angle~in\\ \qquad degrees\\[-0.5em] \hrulefill\\ n=15 \end{cases}\implies 15\theta =360\implies \theta =\cfrac{360}{15}\implies n=24$

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gtnhenbr [62]

I'm guessing the sum is supposed to be

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Split the summand into partial fractions:

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This means

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