In the figure, H is the centre of the circle, EH is parallel to FG and ∠FHG = 96°. Find the values of
- ∠r
- ∠s
- ∠t
(a)
∠r
= (180° - 96°) ÷ 2
= 42° (Angle properties within a circle)
(b)
∠EHF = ∠r = 42° (Alternate angles)
∠s
= (180° - 42°) ÷ 2
= 69° (Angle properties within a circle)
(c)
∠t
= 360° - 96° - 42°
= 222° (Angles at a point)
Answer(s): (a) 42°; (b) 69°; (c) 222°