The figure is not drawn to scale. Triangle KLJ is an isosceles triangle. Triangle GHJ is an equilateral triangle. ∠LJK is
25 of ∠HGJ and ∠HJL = ∠GJK.
- Find ∠HJL.
- Find ∠GKJ.
(a)
∠HJG = 60° (Equilateral triangle)
∠LJK
= ∠HJG x
25 = 60° x
25 = 24°
∠HJL = ∠GJK
∠HJL
= ∠HJG - ∠LJA) ÷ 2
= (60° - 24°) ÷ 2
= 36° ÷ 2
= 18° (Isosceles triangle)
(b)
∠GKJ
= 180° - ∠HGJ - ∠HJL
= 180° - 60° - 18°
= 102° (Angles sum of triangle)
Answer(s): (a) 18°; (b) 102°