PSLE JKLM and KMNP are rhombuses. LQM is a straight line.
- Find ∠MKQ.
- Find ∠LMN.
(a)
∠KML
= (180° - 110°) ÷2
= 70° ÷ 2
= 35° (Isosceles triangle)
∠MKQ
= 180° - 124° - 35°
= 21° (Angles sum of triangle)
(b)
∠KPN
= 360° - 294°
= 66° (Angles at a point)
∠KMN = ∠KPN = 66° (Rhombus)
∠LMN
= 66° - 35°
= 31°
Answer(s): (a) 21°; (b) 31°