The figure is not drawn to scale. HKLM is a trapezium and HK // ML. Given that HM = HJ, ∠MHJ = 72° and ∠HKL = 97°.
- Find ∠KLM
- Find ∠HJM
- Find ∠JML
(a)
∠KLM
= 180° - 97°
= 83° (Interior angles, HK//ML)
(b)
∠HJM
= (180° - 72°) ÷ 2
= 108° ÷ 2
= 54° (Isosceles triangle)
(c)
∠JML
= ∠HJM
= 54° (Alternate angles, HK//ML)
Answer(s): (a) 83°; (b) 54°; (c) 54°