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WAEC Mathematics 2022 Paper

Question : 33

Total: 47

Solution:

Concept:

Use the exterior angle theorem of a triangle to find the unknown interior angle, then apply the straight-line angle property.

Explanation:

In triangle

MNR

, the exterior angle at

M

is given as

141^\circ

The remote interior angles are

\angle MRN = 41^\circ

and

\angle MNR

By the exterior angle theorem:

141^\circ = 41^\circ + \angle MNR

\angle MNR = 141^\circ - 41^\circ = 100^\circ

Since

PQ

is a straight line,

\angle MNR

and

\angle QNR

form a linear pair.

Therefore,

\angle QNR = 180^\circ - 100^\circ = 80^\circ

Answer:

\angle QNR = 80^\circ

Correct option: B.

80^\circ

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