In the figure, L is the centre of the circle, HL is parallel to JK and ∠JLK = 96°. Find the values of
- ∠a
- ∠b
- ∠c
(a)
∠a
= (180° - 96°) ÷ 2
= 42° (Angle properties within a circle)
(b)
∠HLJ = ∠a = 42° (Alternate angles)
∠b
= (180° - 42°) ÷ 2
= 69° (Angle properties within a circle)
(c)
∠c
= 360° - 96° - 42°
= 222° (Angles at a point)
Answer(s): (a) 42°; (b) 69°; (c) 222°