PSLE KLMN is a rhombus. NQL and NPMR are straight lines.
- Find ∠KLN.
- Find ∠NMR.
- Find ∠NQP.
(a)
∠KLN
= (180° - 108°) ÷ 2
= 36° (Isosceles triangle)
(b)
∠LMN
= ∠LKN
= 108° (Rhombus)
∠NMR
= 180° - 108°
= 72° (Angles on a straight line)
(c)
∠PLQ
= ∠KLQ
= 36° (Rhombus)
∠LPQ
= 180° - 69°
= 111° (Angles on a straight line)
∠NQP
= 36° + 111°
= 147° (Exterior angle of a triangle)
Answer(s): (a) 36° (b) 72° (c) 147°