In the figure, not drawn to scale, O is the centre of the semi circle and OMNP is a rhombus. ∠OPQ = 34°. Find
- ∠x
- ∠y.
(a)
OP = OQ = Radius
∠POQ
= 180° - 34° - 34°
= 112° (Isosceles triangle)
∠x = ∠POQ = 112° (Corresponding angles, MN//OP)
(b)
∠y
= 180° - 112°
= 68° (Interior angles, NP//MO)
Answer(s): (a) 112°; (b) 68°