PSLE KLMN is a rhombus. NQL and NPMR are straight lines.
- Find ∠KLN.
- Find ∠NMR.
- Find ∠NQP.
(a)
∠KLN
= (180° - 104°) ÷ 2
= 38° (Isosceles triangle)
(b)
∠LMN
= ∠LKN
= 104° (Rhombus)
∠NMR
= 180° - 104°
= 76° (Angles on a straight line)
(c)
∠PLQ
= ∠KLQ
= 38° (Rhombus)
∠LPQ
= 180° - 71°
= 109° (Angles on a straight line)
∠NQP
= 38° + 109°
= 147° (Exterior angle of a triangle)
Answer(s): (a) 38° (b) 76° (c) 147°