PSLE GHJK and HKLM are rhombuses. JNK is a straight line.
- Find ∠KHN.
- Find ∠JKL.
(a)
∠HKJ
= (180° - 96°) ÷2
= 84° ÷ 2
= 42° (Isosceles triangle)
∠KHN
= 180° - 125° - 42°
= 13° (Angles sum of triangle)
(b)
∠HML
= 360° - 298°
= 62° (Angles at a point)
∠HKL = ∠HML = 62° (Rhombus)
∠JKL
= 62° - 42°
= 20°
Answer(s): (a) 13°; (b) 20°