In the figure, J is the centre of the circle, FJ is parallel to GH and ∠GJH = 112°. Find the values of
- ∠x
- ∠y
- ∠z
(a)
∠x
= (180° - 112°) ÷ 2
= 34° (Angle properties within a circle)
(b)
∠FJG = ∠x = 34° (Alternate angles)
∠y
= (180° - 34°) ÷ 2
= 73° (Angle properties within a circle)
(c)
∠z
= 360° - 112° - 34°
= 214° (Angles at a point)
Answer(s): (a) 34°; (b) 73°; (c) 214°