Question 27

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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: 

$\begin{align}  & \text{Total sum of exterior of any polygon is 36}{{\text{0}}^{\text{o}}} \\ & \text{The sum of the interior angles will be 72}{{\text{0}}^{\text{o}}} \\ & \text{The number of sides will be} \\ & (n-2){{180}^{\circ }}={{720}^{\circ }} \\ & n-2=4 \\ & n=6 \\\end{align}$

maths year: