In the figure, S is the centre of the circle, PS is parallel to QR and ∠QSR = 96°. Find the values of
- ∠f
- ∠g
- ∠h
(a)
∠f
= (180° - 96°) ÷ 2
= 42° (Angle properties within a circle)
(b)
∠PSQ = ∠f = 42° (Alternate angles)
∠g
= (180° - 42°) ÷ 2
= 69° (Angle properties within a circle)
(c)
∠h
= 360° - 96° - 42°
= 222° (Angles at a point)
Answer(s): (a) 42°; (b) 69°; (c) 222°