PSLE JKLM and KMNP are rhombuses. LQM is a straight line.
- Find ∠MKQ.
- Find ∠LMN.
(a)
∠KML
= (180° - 108°) ÷2
= 72° ÷ 2
= 36° (Isosceles triangle)
∠MKQ
= 180° - 129° - 36°
= 15° (Angles sum of triangle)
(b)
∠KPN
= 360° - 281°
= 79° (Angles at a point)
∠KMN = ∠KPN = 79° (Rhombus)
∠LMN
= 79° - 36°
= 43°
Answer(s): (a) 15°; (b) 43°