The figure is not drawn to scale. Triangle MNL is an isosceles triangle. Triangle JKL is an equilateral triangle. ∠NLM is
25 of ∠KJL and ∠KLN = ∠JLM.
- Find ∠KLN.
- Find ∠JML.
(a)
∠KLJ = 60° (Equilateral triangle)
∠NLM
= ∠KLJ x
25 = 60° x
25 = 24°
∠KLN = ∠JLM
∠KLN
= ∠KLJ - ∠NLA) ÷ 2
= (60° - 24°) ÷ 2
= 36° ÷ 2
= 18° (Isosceles triangle)
(b)
∠JML
= 180° - ∠KJL - ∠KLN
= 180° - 60° - 18°
= 102° (Angles sum of triangle)
Answer(s): (a) 18°; (b) 102°