PSLE KLMN and LNPQ are rhombuses. MRN is a straight line.
- Find ∠NLR.
- Find ∠MNP.
(a)
∠LNM
= (180° - 98°) ÷2
= 82° ÷ 2
= 41° (Isosceles triangle)
∠NLR
= 180° - 123° - 41°
= 16° (Angles sum of triangle)
(b)
∠LQP
= 360° - 277°
= 83° (Angles at a point)
∠LNP = ∠LQP = 83° (Rhombus)
∠MNP
= 83° - 41°
= 42°
Answer(s): (a) 16°; (b) 42°