WAEC - Mathematics (2022 - No. 33)
In the diagram, triangle MNR is inscribed in circle MNR, and line PQ is a straight line. ∠MRN = 41 and = 141, find ∠QNR
39º
80º
110º
141º
Maelezo
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