In the figure, ABC is parallel to DEF and DC cuts ∠BDE equally. Given that ∠ABD = 44° and ∠BGC = 118°, find
- ∠x
- ∠y
(a)
∠ABD = ∠BDE (Alternate angles)
∠x
= 44° ÷ 2
= 22°
(b)
∠BDG = ∠x = 22°
∠y
= 118° - 22°
= 96° (Exterior angle of a triangle)
Answer(s): (a) 22°; (b) 96°