In the figure, not drawn to scale, O is the centre of the semi circle and ORST is a rhombus. ∠OTU = 31°. Find
- ∠f
- ∠g.
(a)
OT = OU = Radius
∠TOU
= 180° - 31° - 31°
= 118° (Isosceles triangle)
∠f = ∠TOU = 118° (Corresponding angles, RS//OT)
(b)
∠g
= 180° - 118°
= 62° (Interior angles, ST//RO)
Answer(s): (a) 118°; (b) 62°