In the figure, E is the centre of the circle, BE is parallel to CD and ∠CED = 100°. Find the values of
- ∠x
- ∠y
- ∠z
(a)
∠x
= (180° - 100°) ÷ 2
= 40° (Angle properties within a circle)
(b)
∠BEC = ∠x = 40° (Alternate angles)
∠y
= (180° - 40°) ÷ 2
= 70° (Angle properties within a circle)
(c)
∠z
= 360° - 100° - 40°
= 220° (Angles at a point)
Answer(s): (a) 40°; (b) 70°; (c) 220°