In the figure, Z is the centre of the circle, WZ is parallel to XY and ∠XZY = 96°. Find the values of
- ∠p
- ∠q
- ∠r
(a)
∠p
= (180° - 96°) ÷ 2
= 42° (Angle properties within a circle)
(b)
∠WZX = ∠p = 42° (Alternate angles)
∠q
= (180° - 42°) ÷ 2
= 69° (Angle properties within a circle)
(c)
∠r
= 360° - 96° - 42°
= 222° (Angles at a point)
Answer(s): (a) 42°; (b) 69°; (c) 222°