The figure, not drawn to scale, O is the centre of the circle and SX // TW // UV. Find
- ∠ROU
- ∠RWO
(a)
∠XOT
= 180° - 98°
= 82° (Interior angles, SX//TO)
∠OUW = ∠OWU = 31° (Isosceles triangle)
∠TOU
= 31° + 31°
= 62° (Exterior angle of a triangle)
∠ROU
= 82° + 62°
= 144°
(b)
∠WOU
= 180° - 31° -31°
= 118° (Isosceles triangle)
∠ROW
= 360° - 144° - 118°
= 98° (Angles at a point)
RO = OW = Radius
∠RWO
= (180° - 98°) ÷ 2
= 82° ÷ 2
= 41° (Isosceles triangle)
Answer(s): (a) 144°; (b) 41°