The figure, not drawn to scale, O is the centre of the circle and UZ // VY // WX. Find
- ∠TOW
- ∠TYO
(a)
∠ZOV
= 180° - 94°
= 86° (Interior angles, UZ//VO)
∠OWY = ∠OYW = 33° (Isosceles triangle)
∠VOW
= 33° + 33°
= 66° (Exterior angle of a triangle)
∠TOW
= 86° + 66°
= 152°
(b)
∠YOW
= 180° - 33° -33°
= 114° (Isosceles triangle)
∠TOY
= 360° - 152° - 114°
= 94° (Angles at a point)
TO = OY = Radius
∠TYO
= (180° - 94°) ÷ 2
= 86° ÷ 2
= 43° (Isosceles triangle)
Answer(s): (a) 152°; (b) 43°