Test Index

WAEC Mathematics 2014 Paper

Question : 34

Total: 49

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

Solution:

Concept:

The sum of exterior angles of any polygon is

360^\circ

Use this to find the number of sides first.

Explanation:

Given each exterior angle is

30^\circ

Number of sides

n = \frac{360^\circ}{30^\circ} = 12

Sum of interior angles

= (n - 2) \times 180^\circ

So, sum

= (12 - 2) \times 180^\circ = 10 \times 180^\circ

This gives sum

= 1800^\circ

Answer:

1800^\circ

Correct option: D.

Go to Question:

Prev Question

Next Question