The figure is not drawn to scale. Triangle KLJ is an isosceles triangle. Triangle GHJ is an equilateral triangle. ∠LJK is
35 of ∠HGJ and ∠HJL = ∠GJK.
- Find ∠HJL.
- Find ∠GKJ.
(a)
∠HJG = 60° (Equilateral triangle)
∠LJK
= ∠HJG x
35 = 60° x
35 = 36°
∠HJL = ∠GJK
∠HJL
= ∠HJG - ∠LJA) ÷ 2
= (60° - 36°) ÷ 2
= 24° ÷ 2
= 12° (Isosceles triangle)
(b)
∠GKJ
= 180° - ∠HGJ - ∠HJL
= 180° - 60° - 12°
= 108° (Angles sum of triangle)
Answer(s): (a) 12°; (b) 108°