PSLE LMNP is a rhombus. PRM and PQNS are straight lines.
- Find ∠LMP.
- Find ∠PNS.
- Find ∠PRQ.
(a)
∠LMP
= (180° - 104°) ÷ 2
= 38° (Isosceles triangle)
(b)
∠MNP
= ∠MLP
= 104° (Rhombus)
∠PNS
= 180° - 104°
= 76° (Angles on a straight line)
(c)
∠QMR
= ∠LMR
= 38° (Rhombus)
∠MQR
= 180° - 65°
= 115° (Angles on a straight line)
∠PRQ
= 38° + 115°
= 153° (Exterior angle of a triangle)
Answer(s): (a) 38° (b) 76° (c) 153°