In the figure, given that BCDE is a parallelogram and GF is parallel to DE, find
- ∠BED
- ∠DBE
- ∠BDC
(a)
∠FBC = ∠BED = 31° (Corresponding angles)
(b)
∠DBE
= 180° - 31° - 33°
= 116° (Angles sum of triangle)
(c)
∠BDC = ∠DBE = 116° (Alternate angles)
Answer(s): (a) 31°; (b) 116°; (c) 116°