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 = 28° (Isosceles triangle)
∠VOW
= 28° + 28°
= 56° (Exterior angle of a triangle)
∠TOW
= 86° + 56°
= 142°
(b)
∠YOW
= 180° - 28° -28°
= 124° (Isosceles triangle)
∠TOY
= 360° - 142° - 124°
= 94° (Angles at a point)
TO = OY = Radius
∠TYO
= (180° - 94°) ÷ 2
= 86° ÷ 2
= 43° (Isosceles triangle)
Answer(s): (a) 142°; (b) 43°