The figure is not drawn to scale. HKLM is a trapezium and HK // ML. Given that HM = HJ, ∠MHJ = 73° and ∠HKL = 99°.
- Find ∠KLM
- Find ∠HJM
- Find ∠JML
(a)
∠KLM
= 180° - 99°
= 81° (Interior angles, HK//ML)
(b)
∠HJM
= (180° - 73°) ÷ 2
= 107° ÷ 2
= 53.5° (Isosceles triangle)
(c)
∠JML
= ∠HJM
= 53.5° (Alternate angles, HK//ML)
Answer(s): (a) 81°; (b) 53.5°; (c) 53.5°