In the figure, J is the centre of the circle, FJ is parallel to GH and ∠GJH = 104°. Find the values of
- ∠s
- ∠t
- ∠v
(a)
∠s
= (180° - 104°) ÷ 2
= 38° (Angle properties within a circle)
(b)
∠FJG = ∠s = 38° (Alternate angles)
∠t
= (180° - 38°) ÷ 2
= 71° (Angle properties within a circle)
(c)
∠v
= 360° - 104° - 38°
= 218° (Angles at a point)
Answer(s): (a) 38°; (b) 71°; (c) 218°