In the figure, M is the centre of the circle, JM is parallel to KL and ∠KML = 100°. Find the values of
- ∠m
- ∠n
- ∠p
(a)
∠m
= (180° - 100°) ÷ 2
= 40° (Angle properties within a circle)
(b)
∠JMK = ∠m = 40° (Alternate angles)
∠n
= (180° - 40°) ÷ 2
= 70° (Angle properties within a circle)
(c)
∠p
= 360° - 100° - 40°
= 220° (Angles at a point)
Answer(s): (a) 40°; (b) 70°; (c) 220°