PSLE KLMN and LNPQ are rhombuses. MRN is a straight line.
- Find ∠NLR.
- Find ∠MNP.
(a)
∠LNM
= (180° - 110°) ÷2
= 70° ÷ 2
= 35° (Isosceles triangle)
∠NLR
= 180° - 127° - 35°
= 18° (Angles sum of triangle)
(b)
∠LQP
= 360° - 289°
= 71° (Angles at a point)
∠LNP = ∠LQP = 71° (Rhombus)
∠MNP
= 71° - 35°
= 36°
Answer(s): (a) 18°; (b) 36°