In the figure, not drawn to scale, O is the centre of the semi circle and OMNP is a rhombus. ∠OPQ = 32°. Find
- ∠f
- ∠g.
(a)
OP = OQ = Radius
∠POQ
= 180° - 32° - 32°
= 116° (Isosceles triangle)
∠f = ∠POQ = 116° (Corresponding angles, MN//OP)
(b)
∠g
= 180° - 116°
= 64° (Interior angles, NP//MO)
Answer(s): (a) 116°; (b) 64°