In the figure, J is the centre of the circle, FJ is parallel to GH and ∠GJH = 100°. Find the values of
- ∠p
- ∠q
- ∠r
(a)
∠p
= (180° - 100°) ÷ 2
= 40° (Angle properties within a circle)
(b)
∠FJG = ∠p = 40° (Alternate angles)
∠q
= (180° - 40°) ÷ 2
= 70° (Angle properties within a circle)
(c)
∠r
= 360° - 100° - 40°
= 220° (Angles at a point)
Answer(s): (a) 40°; (b) 70°; (c) 220°