In the figure, S is the centre of the circle, PS is parallel to QR and ∠QSR = 108°. Find the values of
- ∠m
- ∠n
- ∠p
(a)
∠m
= (180° - 108°) ÷ 2
= 36° (Angle properties within a circle)
(b)
∠PSQ = ∠m = 36° (Alternate angles)
∠n
= (180° - 36°) ÷ 2
= 72° (Angle properties within a circle)
(c)
∠p
= 360° - 108° - 36°
= 216° (Angles at a point)
Answer(s): (a) 36°; (b) 72°; (c) 216°