PSLE KLMN is a rhombus. NQL and NPMR are straight lines.
- Find ∠KLN.
- Find ∠NMR.
- Find ∠NQP.
(a)
∠KLN
= (180° - 100°) ÷ 2
= 40° (Isosceles triangle)
(b)
∠LMN
= ∠LKN
= 100° (Rhombus)
∠NMR
= 180° - 100°
= 80° (Angles on a straight line)
(c)
∠PLQ
= ∠KLQ
= 40° (Rhombus)
∠LPQ
= 180° - 64°
= 116° (Angles on a straight line)
∠NQP
= 40° + 116°
= 156° (Exterior angle of a triangle)
Answer(s): (a) 40° (b) 80° (c) 156°