In the figure, not drawn to scale, O is the centre of the semi circle and ORST is a rhombus. ∠OTU = 32°. Find
- ∠s
- ∠t.
(a)
OT = OU = Radius
∠TOU
= 180° - 32° - 32°
= 116° (Isosceles triangle)
∠s = ∠TOU = 116° (Corresponding angles, RS//OT)
(b)
∠t
= 180° - 116°
= 64° (Interior angles, ST//RO)
Answer(s): (a) 116°; (b) 64°