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° - 120° - 39°
= 21° (Angles sum of triangle)
(b)
∠HML
= 360° - 276°
= 84° (Angles at a point)
∠HKL = ∠HML = 84° (Rhombus)
∠JKL
= 84° - 39°
= 45°
Answer(s): (a) 21°; (b) 45°