The figure is not drawn to scale. It shows a parallelogram FGHJ and an isosceles triangle CFJ next to it. ∠EJC = 8°. ED and CB are straight lines. Find
- ∠m
- ∠k + ∠l
- ∠l
(a)
∠m
= 180° - ∠EJC
= 180° - 8°
= 172° (Angles on a straight line)
(b)
∠k = ∠FJH (Parallelogram)
∠k + ∠l
= 180° - 8° - 55°
= 117° (Angles on a straight line)
(c)
∠CFJ = ∠k (Corresponding angles)
∠CFJ = ∠JCF (Isosceles triangle)
∠k
= 180° - (∠k + ∠l)
= 180° - 117°
= 63°
∠l
= 180° - ∠k - ∠k
= 180° - 63° - 63°
= 54° (Angles sum of triangle)
Answer(s): (a) 172°; (b) 117°; (c) 54°