Test Index

WAEC Mathematics 2022 Paper

Question : 29

Total: 47

Solution:

Concept:

The sum of the interior angles of a triangle is

180^\circ

, and the base angles of an isosceles triangle are equal.

Explanation:

In triangle

OSN

, the given angle at

O

\angle SON = 108^\circ

Using the angle sum property of a triangle:

\angle SON + \angle OSN + \angle SNO = 180^\circ

\angle OSN + \angle SNO = 180^\circ - 108^\circ = 72^\circ

Triangle

OSN

is isosceles because

OS = ON

Therefore, the base angles are equal:

\angle OSN = \angle SNO

2\angle OSN = 72^\circ

\angle OSN = \frac{72^\circ}{2} = 36^\circ

Answer:

\angle OSN = 36^\circ

, so the correct option is A.

Go to Question:

Prev Question

Next Question