In the figure, E is the centre of the circle, BE is parallel to CD and ∠CED = 104°. Find the values of
- ∠e
- ∠f
- ∠g
(a)
∠e
= (180° - 104°) ÷ 2
= 38° (Angle properties within a circle)
(b)
∠BEC = ∠e = 38° (Alternate angles)
∠f
= (180° - 38°) ÷ 2
= 71° (Angle properties within a circle)
(c)
∠g
= 360° - 104° - 38°
= 218° (Angles at a point)
Answer(s): (a) 38°; (b) 71°; (c) 218°