PSLE GHJK and HKLM are rhombuses. JNK is a straight line.
- Find ∠KHN.
- Find ∠JKL.
(a)
∠HKJ
= (180° - 108°) ÷2
= 72° ÷ 2
= 36° (Isosceles triangle)
∠KHN
= 180° - 124° - 36°
= 20° (Angles sum of triangle)
(b)
∠HML
= 360° - 283°
= 77° (Angles at a point)
∠HKL = ∠HML = 77° (Rhombus)
∠JKL
= 77° - 36°
= 41°
Answer(s): (a) 20°; (b) 41°