In the figure, V is the centre of the circle, SV is parallel to TU and ∠TVU = 108°. Find the values of
- ∠t
- ∠v
- ∠w
(a)
∠t
= (180° - 108°) ÷ 2
= 36° (Angle properties within a circle)
(b)
∠SVT = ∠t = 36° (Alternate angles)
∠v
= (180° - 36°) ÷ 2
= 72° (Angle properties within a circle)
(c)
∠w
= 360° - 108° - 36°
= 216° (Angles at a point)
Answer(s): (a) 36°; (b) 72°; (c) 216°