PSLE LMNP is a rhombus. PRM and PQNS are straight lines.
- Find ∠LMP.
- Find ∠PNS.
- Find ∠PRQ.
(a)
∠LMP
= (180° - 108°) ÷ 2
= 36° (Isosceles triangle)
(b)
∠MNP
= ∠MLP
= 108° (Rhombus)
∠PNS
= 180° - 108°
= 72° (Angles on a straight line)
(c)
∠QMR
= ∠LMR
= 36° (Rhombus)
∠MQR
= 180° - 69°
= 111° (Angles on a straight line)
∠PRQ
= 36° + 111°
= 147° (Exterior angle of a triangle)
Answer(s): (a) 36° (b) 72° (c) 147°