waecmaths question:
The sum of the exterior angles of an n – sided convex polygon is half the sum of its interior angles. Find n
Option A:
6
Option B:
8
Option C:
9
Option D:
12
waecmaths solution:
$\begin{align} & \text{Total sum of exterior of any polygon is 36}{{\text{0}}^{\text{o}}} \\ & \text{The sum of the interior angles will be 72}{{\text{0}}^{\text{o}}} \\ & \text{The number of sides will be} \\ & (n-2){{180}^{\circ }}={{720}^{\circ }} \\ & n-2=4 \\ & n=6 \\\end{align}$
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