The figure is not drawn to scale. GJKL is a trapezium and GJ // LK. Given that GL = GH, ∠LGH = 74° and ∠GJK = 101°.
- Find ∠JKL
- Find ∠GHL
- Find ∠HLK
(a)
∠JKL
= 180° - 101°
= 79° (Interior angles, GJ//LK)
(b)
∠GHL
= (180° - 74°) ÷ 2
= 106° ÷ 2
= 53° (Isosceles triangle)
(c)
∠HLK
= ∠GHL
= 53° (Alternate angles, GJ//LK)
Answer(s): (a) 79°; (b) 53°; (c) 53°