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° - 121° - 41°
= 18° (Angles sum of triangle)
(b)
∠HML
= 360° - 290°
= 70° (Angles at a point)
∠HKL = ∠HML = 70° (Rhombus)
∠JKL
= 70° - 41°
= 29°
Answer(s): (a) 18°; (b) 29°