The figure is not drawn to scale. Triangle LMK is an isosceles triangle. Triangle HJK is an equilateral triangle. ∠MKL is
15 of ∠JHK and ∠JKM = ∠HKL.
- Find ∠JKM.
- Find ∠HLK.
(a)
∠JKH = 60° (Equilateral triangle)
∠MKL
= ∠JKH x
15 = 60° x
15 = 12°
∠JKM = ∠HKL
∠JKM
= ∠JKH - ∠MKA) ÷ 2
= (60° - 12°) ÷ 2
= 48° ÷ 2
= 24° (Isosceles triangle)
(b)
∠HLK
= 180° - ∠JHK - ∠JKM
= 180° - 60° - 24°
= 96° (Angles sum of triangle)
Answer(s): (a) 24°; (b) 96°