PSLE KLMN is a rhombus. NQL and NPMR are straight lines.
- Find ∠KLN.
- Find ∠NMR.
- Find ∠NQP.
(a)
∠KLN
= (180° - 106°) ÷ 2
= 37° (Isosceles triangle)
(b)
∠LMN
= ∠LKN
= 106° (Rhombus)
∠NMR
= 180° - 106°
= 74° (Angles on a straight line)
(c)
∠PLQ
= ∠KLQ
= 37° (Rhombus)
∠LPQ
= 180° - 69°
= 111° (Angles on a straight line)
∠NQP
= 37° + 111°
= 148° (Exterior angle of a triangle)
Answer(s): (a) 37° (b) 74° (c) 148°