The figure is not drawn to scale. It shows a parallelogram FGHJ and an isosceles triangle CFJ next to it. ∠EJC = 13°. ED and CB are straight lines. Find
- ∠m
- ∠k + ∠l
- ∠l
(a)
∠m
= 180° - ∠EJC
= 180° - 13°
= 167° (Angles on a straight line)
(b)
∠k = ∠FJH (Parallelogram)
∠k + ∠l
= 180° - 13° - 54°
= 113° (Angles on a straight line)
(c)
∠CFJ = ∠k (Corresponding angles)
∠CFJ = ∠JCF (Isosceles triangle)
∠k
= 180° - (∠k + ∠l)
= 180° - 113°
= 67°
∠l
= 180° - ∠k - ∠k
= 180° - 67° - 67°
= 46° (Angles sum of triangle)
Answer(s): (a) 167°; (b) 113°; (c) 46°