Question 47

loading...

Prev/Next links

waecmaths question: 

Each exterior angle of a polygon is 30o. Calculate the sum of the interior angles

Option A: 

540o

Option B: 

720o

Option C: 

1080o

Option D: 

1800o

waecmaths solution: 

$\begin{align}  & \text{The total exterior angles in  }n-sided\text{ polygon is given as }{{360}^{\circ }} \\ & {{30}^{\circ }}n={{360}^{\circ }} \\ & n=12 \\ & \text{For interior angles , the sum is given by } \\ & (n-2)\times {{180}^{\circ }}=(12-2)\times {{180}^{\circ }}={{1800}^{\circ }} \\\end{align}$

maths year: