PSLE GHJK and HKLM are rhombuses. JNK is a straight line.
- Find ∠KHN.
- Find ∠JKL.
(a)
∠HKJ
= (180° - 106°) ÷2
= 74° ÷ 2
= 37° (Isosceles triangle)
∠KHN
= 180° - 125° - 37°
= 18° (Angles sum of triangle)
(b)
∠HML
= 360° - 299°
= 61° (Angles at a point)
∠HKL = ∠HML = 61° (Rhombus)
∠JKL
= 61° - 37°
= 24°
Answer(s): (a) 18°; (b) 24°