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WAEC Mathematics 2020 Paper

Question : 31

Total: 48

Solution:

Concept:

Equal radii form an isosceles triangle, and an exterior angle of a triangle equals the sum of the two opposite interior angles.

Explanation:

Since

O

is the centre of the circle,

OP = OQ

because both are radii.

\triangle OPQ

is isosceles.

Therefore, its base angles are equal:

\angle OQP = \angle OPQ = 48^\circ

The marked angle

M

is the exterior angle of

\triangle OPQ

Using the exterior angle theorem:

M = 48^\circ + 48^\circ = 96^\circ

Answer:

96^\circ

\Rightarrow

Option A.

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