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Let A1 A2 A3 ... A15 be a regular polygon. A rotation centered at $A_4$ with an angle of $\alpha$ takes $A_3$ to $A_5$. Given that $\alpha < 180^\circ$, find $\alpha,$ in degrees.

 May 23, 2024
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Alpha  =  the measure of the interior angle of a 15-gon  (a pentadecagon) =

 

[ (n - 2) * 180 ]  / n  =    [ (15 - 2) * 180 ]  / 15  =  156° 

 

cool cool cool

 May 23, 2024

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