PSLE GHJK and HKLM are rhombuses. JNK is a straight line.
- Find ∠KHN.
- Find ∠JKL.
(a)
∠HKJ
= (180° - 102°) ÷2
= 78° ÷ 2
= 39° (Isosceles triangle)
∠KHN
= 180° - 125° - 39°
= 16° (Angles sum of triangle)
(b)
∠HML
= 360° - 299°
= 61° (Angles at a point)
∠HKL = ∠HML = 61° (Rhombus)
∠JKL
= 61° - 39°
= 22°
Answer(s): (a) 16°; (b) 22°