In the figure, NPR is a triangle with PR = PN, while MNPQ is a parallelogram and QPR is a straight line. Given ∠PQM = 92°, ∠LPR = 149° and ∠MLP = 48°, find
- ∠PNR
- ∠LPN
(a)
∠MQP
= ∠NPR
= 92° (Corresponding angles)
∠PNR
= (180° - 92°) ÷ 2
= 44° (Isosceles triangle)
(b)
∠LPN
= 360° - 149° - 92°
= 119° (Angles at a point)
Answer(s): (a) 44°; (b) 119°