The figure, not drawn to scale, O is the centre of the circle and UZ // VY // WX. Find
- ∠TOW
- ∠TYO
(a)
∠ZOV
= 180° - 96°
= 84° (Interior angles, UZ//VO)
∠OWY = ∠OYW = 30° (Isosceles triangle)
∠VOW
= 30° + 30°
= 60° (Exterior angle of a triangle)
∠TOW
= 84° + 60°
= 144°
(b)
∠YOW
= 180° - 30° -30°
= 120° (Isosceles triangle)
∠TOY
= 360° - 144° - 120°
= 96° (Angles at a point)
TO = OY = Radius
∠TYO
= (180° - 96°) ÷ 2
= 84° ÷ 2
= 42° (Isosceles triangle)
Answer(s): (a) 144°; (b) 42°