In the figure, not drawn to scale, O is the centre of the semi circle and OMNP is a rhombus. ∠OPQ = 29°. Find
- ∠m
- ∠n.
(a)
OP = OQ = Radius
∠POQ
= 180° - 29° - 29°
= 122° (Isosceles triangle)
∠m = ∠POQ = 122° (Corresponding angles, MN//OP)
(b)
∠n
= 180° - 122°
= 58° (Interior angles, NP//MO)
Answer(s): (a) 122°; (b) 58°