Test Index

WAEC Mathematics 2022 Paper

Question : 19

Total: 47

An exterior angle of a regular polygon is 22.5°. Find the number of sides.

Solution:

Concept:

For any polygon, the sum of all exterior angles is

360^\circ

In a regular polygon, all exterior angles are equal.

Explanation:

Let the number of sides be

n

Each exterior angle

= \frac{\text{sum of exterior angles}}{n}

So,

22.5^\circ = \frac{360^\circ}{n}

Rearranging gives

n = \frac{360^\circ}{22.5^\circ}

Calculating:

n = 16

Thus, the regular polygon has 16 sides.

Answer:

D. 16 sides.

Go to Question:

Prev Question

Next Question