The figure is not drawn to scale. GJKL is a trapezium and GJ // LK. Given that GL = GH, ∠LGH = 77° and ∠GJK = 97°.
- Find ∠JKL
- Find ∠GHL
- Find ∠HLK
(a)
∠JKL
= 180° - 97°
= 83° (Interior angles, GJ//LK)
(b)
∠GHL
= (180° - 77°) ÷ 2
= 103° ÷ 2
= 51.5° (Isosceles triangle)
(c)
∠HLK
= ∠GHL
= 51.5° (Alternate angles, GJ//LK)
Answer(s): (a) 83°; (b) 51.5°; (c) 51.5°