In the figure, not drawn to scale, O is the centre of the semi circle and OMNP is a rhombus. ∠OPQ = 31°. Find
- ∠i
- ∠j.
(a)
OP = OQ = Radius
∠POQ
= 180° - 31° - 31°
= 118° (Isosceles triangle)
∠i = ∠POQ = 118° (Corresponding angles, MN//OP)
(b)
∠j
= 180° - 118°
= 62° (Interior angles, NP//MO)
Answer(s): (a) 118°; (b) 62°