$AB$, $BC$, $CD$ and $DE$ are adjacent sides of a regular polygon. Given that the exterior a

Question

$AB$, $BC$, $CD$ and $DE$ are adjacent sides of a regular polygon. Given that the exterior angle of the polygon is $18{}^\circ $, calculate the number of sides of the polygon, $\angle BAC$.

Accepted Answer

(a) $20$ sides (b) $\angle BAC=9^\circ$

Angles in a Regular Polygon with Adjacent Sides Marked

Angles in a Regular Polygon with Adjacent Sides Marked

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