PSLE LMNP is a rhombus. PRM and PQNS are straight lines.
- Find ∠LMP.
- Find ∠PNS.
- Find ∠PRQ.
(a)
∠LMP
= (180° - 106°) ÷ 2
= 37° (Isosceles triangle)
(b)
∠MNP
= ∠MLP
= 106° (Rhombus)
∠PNS
= 180° - 106°
= 74° (Angles on a straight line)
(c)
∠QMR
= ∠LMR
= 37° (Rhombus)
∠MQR
= 180° - 68°
= 112° (Angles on a straight line)
∠PRQ
= 37° + 112°
= 149° (Exterior angle of a triangle)
Answer(s): (a) 37° (b) 74° (c) 149°