In the diagram, triangle MNR is inscribed in circle MNR, and line PQ...

WAEC 2022

In the diagram, triangle MNR is inscribed in circle MNR, and line PQ is a straight line. ∠MRN = 41 and = 141, find ∠QNR

A. 39º
B. 80º
C. 110º
D. 141º

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Correct Answer: Option B

Explanation

The exterior angle theorem states that the measure of each exterior angle of a triangle is equal to the sum of the opposite and non-adjacent interior angles.

∠M = ∠R + ∠N

→ 141 = 41 + ∠N

∠N = 141 - 41 = 100º

∠QNR = 180 - 100 → 80º

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In the diagram, triangle MNR is inscribed in circle MNR, and line PQ...

Correct Answer: Option B

Explanation

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