In the figure, DEG is a triangle with EG = ED, while CDEF is a parallelogram and FEG is a straight line. Given ∠EFC = 94°, ∠BEG = 147° and ∠CBE = 49°, find
- ∠EDG
- ∠BED
(a)
∠CFE
= ∠DEG
= 94° (Corresponding angles)
∠EDG
= (180° - 94°) ÷ 2
= 43° (Isosceles triangle)
(b)
∠BED
= 360° - 147° - 94°
= 119° (Angles at a point)
Answer(s): (a) 43°; (b) 119°