In the figure, HJ = HL, ∠JHL = 35° and ∠MKL = 13°. Find
- ∠e
- ∠f
(a)
∠HJL
= (180° - 35°) ÷ 2
= 72.5° (Isosceles triangle)
∠e
= 180° - 13° - 72.5°
= 94.5° (Angles sum of triangle)
(b)
∠HLK
= 180° - 72.5°
= 107.5° (Angles on a straight line)
∠f
= 13° + 107.5°
= 120.5° (Exterior angle of a triangle)
Answer(s): (a) 94.5°; (b) 120.5°