In the figure, DEG is a triangle with EG = ED, while CDEF is a parallelogram and FEG is a straight line. Given ∠EFC = 98°, ∠BEG = 138° and ∠CBE = 54°, find
- ∠EDG
- ∠BED
(a)
∠CFE
= ∠DEG
= 98° (Corresponding angles)
∠EDG
= (180° - 98°) ÷ 2
= 41° (Isosceles triangle)
(b)
∠BED
= 360° - 138° - 98°
= 124° (Angles at a point)
Answer(s): (a) 41°; (b) 124°