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° - 128° - 35°
= 17° (Angles sum of triangle)
(b)
∠KPN
= 360° - 278°
= 82° (Angles at a point)
∠KMN = ∠KPN = 82° (Rhombus)
∠LMN
= 82° - 35°
= 47°
Answer(s): (a) 17°; (b) 47°