PSLE KLMN is a rhombus. NQL and NPMR are straight lines.
- Find ∠KLN.
- Find ∠NMR.
- Find ∠NQP.
(a)
∠KLN
= (180° - 102°) ÷ 2
= 39° (Isosceles triangle)
(b)
∠LMN
= ∠LKN
= 102° (Rhombus)
∠NMR
= 180° - 102°
= 78° (Angles on a straight line)
(c)
∠PLQ
= ∠KLQ
= 39° (Rhombus)
∠LPQ
= 180° - 62°
= 118° (Angles on a straight line)
∠NQP
= 39° + 118°
= 157° (Exterior angle of a triangle)
Answer(s): (a) 39° (b) 78° (c) 157°