Jambmaths question:
In a regular polygon, each interior angle doubles its corresponding exterior angle. Find the number of sides of the polygon.
Option A:
3
Option B:
4
Option C:
6
Option D:
8
Jamb Maths Solution:
$\begin{align} & {{x}^{o}}+2{{x}^{o}}={{180}^{o}}\text{ }\!\!\{\!\!\text{ sum of angle on a straight line }\!\!\}\!\!\text{ } \\ & 3{{x}^{o}}={{180}^{o}} \\ & x={{60}^{o}} \\ & \text{Total sum of exterior angle of a polygon is 36}{{\text{0}}^{o}} \\ & {{60}^{o}}n={{360}^{0}}\text{ }\!\!\{\!\!\text{ }n=n\text{umber of sides }\!\!\}\!\!\text{ } \\ & n=\frac{{{360}^{o}}}{{{60}^{o}}}=6-sides \\\end{align}$
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