PSLE KLMN is a rhombus. NQL and NPMR are straight lines.
- Find ∠KLN.
- Find ∠NMR.
- Find ∠NQP.
(a)
∠KLN
= (180° - 110°) ÷ 2
= 35° (Isosceles triangle)
(b)
∠LMN
= ∠LKN
= 110° (Rhombus)
∠NMR
= 180° - 110°
= 70° (Angles on a straight line)
(c)
∠PLQ
= ∠KLQ
= 35° (Rhombus)
∠LPQ
= 180° - 66°
= 114° (Angles on a straight line)
∠NQP
= 35° + 114°
= 149° (Exterior angle of a triangle)
Answer(s): (a) 35° (b) 70° (c) 149°