In the figure, not drawn to scale, O is the centre of the semi circle and ORST is a rhombus. ∠OTU = 35°. Find
- ∠b
- ∠c.
(a)
OT = OU = Radius
∠TOU
= 180° - 35° - 35°
= 110° (Isosceles triangle)
∠b = ∠TOU = 110° (Corresponding angles, RS//OT)
(b)
∠c
= 180° - 110°
= 70° (Interior angles, ST//RO)
Answer(s): (a) 110°; (b) 70°