In the figure, ABC and CDE are isosceles triangles where AC = BC and CD = CE. Given that DF, EH and AK are straight lines, find
- ∠GLK
- ∠EFL
(a)
∠ABC = ∠BAC = ∠CDE = ∠CED (Isosceles triangle)
∠CED = ∠FEL = 46° (Verticallly opposite angles)
∠HEL
= 46° - 12°
= 34°
∠EGL
= 180° - 98°
= 82° (Angles on a straight line)
∠GLK
= 82° + 34°
= 116° (Exterior angle of a triangle)
(b)
∠EFL
= 116° - 46°
= 70° (Exterior angle of a triangle)
Answer(s): (a) 116°; (b) 70°