The figure, not drawn to scale, O is the centre of the circle and TY // UX // VW. Find
- ∠SOV
- ∠SXO
(a)
∠YOU
= 180° - 96°
= 84° (Interior angles, TY//UO)
∠OVX = ∠OXV = 32° (Isosceles triangle)
∠UOV
= 32° + 32°
= 64° (Exterior angle of a triangle)
∠SOV
= 84° + 64°
= 148°
(b)
∠XOV
= 180° - 32° -32°
= 116° (Isosceles triangle)
∠SOX
= 360° - 148° - 116°
= 96° (Angles at a point)
SO = OX = Radius
∠SXO
= (180° - 96°) ÷ 2
= 84° ÷ 2
= 42° (Isosceles triangle)
Answer(s): (a) 148°; (b) 42°
