In the figure, not drawn to scale, O is the centre of the semi circle and OMNP is a rhombus. ∠OPQ = 30°. Find
- ∠t
- ∠v.
(a)
OP = OQ = Radius
∠POQ
= 180° - 30° - 30°
= 120° (Isosceles triangle)
∠t = ∠POQ = 120° (Corresponding angles, MN//OP)
(b)
∠v
= 180° - 120°
= 60° (Interior angles, NP//MO)
Answer(s): (a) 120°; (b) 60°