The figure, not drawn to scale, O is the centre of the circle and TY // UX // VW. Find
- ∠SOV
- ∠SXO
(a)
∠YOU
= 180° - 98°
= 82° (Interior angles, TY//UO)
∠OVX = ∠OXV = 33° (Isosceles triangle)
∠UOV
= 33° + 33°
= 66° (Exterior angle of a triangle)
∠SOV
= 82° + 66°
= 148°
(b)
∠XOV
= 180° - 33° -33°
= 114° (Isosceles triangle)
∠SOX
= 360° - 148° - 114°
= 98° (Angles at a point)
SO = OX = Radius
∠SXO
= (180° - 98°) ÷ 2
= 82° ÷ 2
= 41° (Isosceles triangle)
Answer(s): (a) 148°; (b) 41°