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Let \(A_1, A_2, A_3, ..., A_{15}\) be a regular polygon. A rotation centered at \(A_1\) with an angle of \(\alpha\) takes \(A_8\) to \(A_{15}\). Given that \(\alpha < 180^{\circ}\), find \(\alpha\) in degrees

 Oct 4, 2024
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avatar+280 
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Nevermind, I got the answer, it's 84

 

Basically you find the central angle which is 360/15. Then you do (15-8)*24, which equals 7*24 = 168. Finally you divide by 2 which gives you 84.

 

 

:)

 Oct 4, 2024

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