The figure, not drawn to scale, O is the centre of the circle and SX // TW // UV. Find
- ∠ROU
- ∠RWO
(a)
∠XOT
= 180° - 102°
= 78° (Interior angles, SX//TO)
∠OUW = ∠OWU = 33° (Isosceles triangle)
∠TOU
= 33° + 33°
= 66° (Exterior angle of a triangle)
∠ROU
= 78° + 66°
= 144°
(b)
∠WOU
= 180° - 33° -33°
= 114° (Isosceles triangle)
∠ROW
= 360° - 144° - 114°
= 102° (Angles at a point)
RO = OW = Radius
∠RWO
= (180° - 102°) ÷ 2
= 78° ÷ 2
= 39° (Isosceles triangle)
Answer(s): (a) 144°; (b) 39°
