In the figure, K is the centre of the circle, GK is parallel to HJ and ∠HKJ = 104°. Find the values of
- ∠m
- ∠n
- ∠p
(a)
∠m
= (180° - 104°) ÷ 2
= 38° (Angle properties within a circle)
(b)
∠GKH = ∠m = 38° (Alternate angles)
∠n
= (180° - 38°) ÷ 2
= 71° (Angle properties within a circle)
(c)
∠p
= 360° - 104° - 38°
= 218° (Angles at a point)
Answer(s): (a) 38°; (b) 71°; (c) 218°