PSLE KLMN and LNPQ are rhombuses. MRN is a straight line.
- Find ∠NLR.
- Find ∠MNP.
(a)
∠LNM
= (180° - 102°) ÷2
= 78° ÷ 2
= 39° (Isosceles triangle)
∠NLR
= 180° - 127° - 39°
= 14° (Angles sum of triangle)
(b)
∠LQP
= 360° - 284°
= 76° (Angles at a point)
∠LNP = ∠LQP = 76° (Rhombus)
∠MNP
= 76° - 39°
= 37°
Answer(s): (a) 14°; (b) 37°