Question 23

loading...

Prev/Next links

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: 

$\begin{align}  & {{x}^{o}}+2{{x}^{o}}={{180}^{o}}\text{     }\!\!\{\!\!\text{ sum of angle on a straight line }\!\!\}\!\!\text{ } \\ & 3{{x}^{o}}={{180}^{o}} \\ & x={{60}^{o}} \\ & \text{Total sum of exterior angle of a polygon is 36}{{\text{0}}^{o}} \\ & {{60}^{o}}n={{360}^{0}}\text{      }\!\!\{\!\!\text{ }n=n\text{umber of sides }\!\!\}\!\!\text{ } \\ & n=\frac{{{360}^{o}}}{{{60}^{o}}}=6-sides \\\end{align}$

Year of Exam: