The figure is not drawn to scale. HKLM is a trapezium and HK // ML. Given that HM = HJ, ∠MHJ = 78° and ∠HKL = 98°.
- Find ∠KLM
- Find ∠HJM
- Find ∠JML
(a)
∠KLM
= 180° - 98°
= 82° (Interior angles, HK//ML)
(b)
∠HJM
= (180° - 78°) ÷ 2
= 102° ÷ 2
= 51° (Isosceles triangle)
(c)
∠JML
= ∠HJM
= 51° (Alternate angles, HK//ML)
Answer(s): (a) 82°; (b) 51°; (c) 51°