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<p>$AB$, $BC$, $CD$ and $DE$ are adjacent sides of a regular polygon.  Given that the exterior angle of the polygon is $18{}^\circ $, calculate</p>
<ol class="abc-list"><li><div class="list-item-paragraph">the number of sides of the polygon,</div></li><li><div class="list-item-paragraph">$\angle BAC$.</div></li></ol>

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

Angles in a Regular Polygon with Adjacent Sides Marked

Angles in a Regular Polygon with Adjacent Sides Marked

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