The figure is not drawn to scale. GJKL is a trapezium and GJ // LK. Given that GL = GH, ∠LGH = 80° and ∠GJK = 100°.
- Find ∠JKL
- Find ∠GHL
- Find ∠HLK
(a)
∠JKL
= 180° - 100°
= 80° (Interior angles, GJ//LK)
(b)
∠GHL
= (180° - 80°) ÷ 2
= 100° ÷ 2
= 50° (Isosceles triangle)
(c)
∠HLK
= ∠GHL
= 50° (Alternate angles, GJ//LK)
Answer(s): (a) 80°; (b) 50°; (c) 50°