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Naddika [18.5K]

2 years ago

5

Find the exterior angle of a 15-gon

1 answer:

den301095 [7]2 years ago

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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