PSLE LMNP is a rhombus. PRM and PQNS are straight lines.
- Find ∠LMP.
- Find ∠PNS.
- Find ∠PRQ.
(a)
∠LMP
= (180° - 110°) ÷ 2
= 35° (Isosceles triangle)
(b)
∠MNP
= ∠MLP
= 110° (Rhombus)
∠PNS
= 180° - 110°
= 70° (Angles on a straight line)
(c)
∠QMR
= ∠LMR
= 35° (Rhombus)
∠MQR
= 180° - 71°
= 109° (Angles on a straight line)
∠PRQ
= 35° + 109°
= 144° (Exterior angle of a triangle)
Answer(s): (a) 35° (b) 70° (c) 144°