In the figure, NPR is a triangle with PR = PN, while MNPQ is a parallelogram and QPR is a straight line. Given ∠PQM = 100°, ∠LPR = 150° and ∠MLP = 55°, find
- ∠PNR
- ∠LPN
(a)
∠MQP
= ∠NPR
= 100° (Corresponding angles)
∠PNR
= (180° - 100°) ÷ 2
= 40° (Isosceles triangle)
(b)
∠LPN
= 360° - 150° - 100°
= 110° (Angles at a point)
Answer(s): (a) 40°; (b) 110°