PSLE KLMN and LNPQ are rhombuses. MRN is a straight line.
- Find ∠NLR.
- Find ∠MNP.
(a)
∠LNM
= (180° - 104°) ÷2
= 76° ÷ 2
= 38° (Isosceles triangle)
∠NLR
= 180° - 132° - 38°
= 10° (Angles sum of triangle)
(b)
∠LQP
= 360° - 290°
= 70° (Angles at a point)
∠LNP = ∠LQP = 70° (Rhombus)
∠MNP
= 70° - 38°
= 32°
Answer(s): (a) 10°; (b) 32°