In the figure, X is the centre of the circle, UX is parallel to VW and ∠VXW = 104°. Find the values of
- ∠k
- ∠m
- ∠n
(a)
∠k
= (180° - 104°) ÷ 2
= 38° (Angle properties within a circle)
(b)
∠UXV = ∠k = 38° (Alternate angles)
∠m
= (180° - 38°) ÷ 2
= 71° (Angle properties within a circle)
(c)
∠n
= 360° - 104° - 38°
= 218° (Angles at a point)
Answer(s): (a) 38°; (b) 71°; (c) 218°