In the figure, not drawn to scale, O is the centre of the semi circle and ORST is a rhombus. ∠OTU = 30°. Find
- ∠d
- ∠e.
(a)
OT = OU = Radius
∠TOU
= 180° - 30° - 30°
= 120° (Isosceles triangle)
∠d = ∠TOU = 120° (Corresponding angles, RS//OT)
(b)
∠e
= 180° - 120°
= 60° (Interior angles, ST//RO)
Answer(s): (a) 120°; (b) 60°