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° - 126° - 39°
= 15° (Angles sum of triangle)
(b)
∠HML
= 360° - 278°
= 82° (Angles at a point)
∠HKL = ∠HML = 82° (Rhombus)
∠JKL
= 82° - 39°
= 43°
Answer(s): (a) 15°; (b) 43°