PSLE LMNP is a rhombus. PRM and PQNS are straight lines.
- Find ∠LMP.
- Find ∠PNS.
- Find ∠PRQ.
(a)
∠LMP
= (180° - 100°) ÷ 2
= 40° (Isosceles triangle)
(b)
∠MNP
= ∠MLP
= 100° (Rhombus)
∠PNS
= 180° - 100°
= 80° (Angles on a straight line)
(c)
∠QMR
= ∠LMR
= 40° (Rhombus)
∠MQR
= 180° - 63°
= 117° (Angles on a straight line)
∠PRQ
= 40° + 117°
= 157° (Exterior angle of a triangle)
Answer(s): (a) 40° (b) 80° (c) 157°