PSLE JKLM and KMNP are rhombuses. LQM is a straight line.
- Find ∠MKQ.
- Find ∠LMN.
(a)
∠KML
= (180° - 102°) ÷2
= 78° ÷ 2
= 39° (Isosceles triangle)
∠MKQ
= 180° - 132° - 39°
= 9° (Angles sum of triangle)
(b)
∠KPN
= 360° - 280°
= 80° (Angles at a point)
∠KMN = ∠KPN = 80° (Rhombus)
∠LMN
= 80° - 39°
= 41°
Answer(s): (a) 9°; (b) 41°