In the figure, U is the centre of the circle, RU is parallel to ST and ∠SUT = 104°. Find the values of
- ∠p
- ∠q
- ∠r
(a)
∠p
= (180° - 104°) ÷ 2
= 38° (Angle properties within a circle)
(b)
∠RUS = ∠p = 38° (Alternate angles)
∠q
= (180° - 38°) ÷ 2
= 71° (Angle properties within a circle)
(c)
∠r
= 360° - 104° - 38°
= 218° (Angles at a point)
Answer(s): (a) 38°; (b) 71°; (c) 218°