In the figure, not drawn to scale, O is the centre of the semi circle and OMNP is a rhombus. ∠OPQ = 35°. Find
- ∠p
- ∠q.
(a)
OP = OQ = Radius
∠POQ
= 180° - 35° - 35°
= 110° (Isosceles triangle)
∠p = ∠POQ = 110° (Corresponding angles, MN//OP)
(b)
∠q
= 180° - 110°
= 70° (Interior angles, NP//MO)
Answer(s): (a) 110°; (b) 70°