PSLE GHJK and HKLM are rhombuses. JNK is a straight line.
- Find ∠KHN.
- Find ∠JKL.
(a)
∠HKJ
= (180° - 98°) ÷2
= 82° ÷ 2
= 41° (Isosceles triangle)
∠KHN
= 180° - 130° - 41°
= 9° (Angles sum of triangle)
(b)
∠HML
= 360° - 292°
= 68° (Angles at a point)
∠HKL = ∠HML = 68° (Rhombus)
∠JKL
= 68° - 41°
= 27°
Answer(s): (a) 9°; (b) 27°