In the diagram, triangle MNR is inscribed in circle MNR and line PQ is a...
MATHEMATICS
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. 39
- B. 80
- C. 110
- D. 141
Correct Answer: B. 80
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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