In the figure, NPR is a triangle with PR = PN, while MNPQ is a parallelogram and QPR is a straight line. Given ∠PQM = 98°, ∠LPR = 152° and ∠MLP = 52°, find
- ∠PNR
- ∠LPN
(a)
∠MQP
= ∠NPR
= 98° (Corresponding angles)
∠PNR
= (180° - 98°) ÷ 2
= 41° (Isosceles triangle)
(b)
∠LPN
= 360° - 152° - 98°
= 110° (Angles at a point)
Answer(s): (a) 41°; (b) 110°