In the figure, not drawn to scale, O is the centre of the semi circle and ONPQ is a rhombus. ∠OQR = 31°. Find
- ∠v
- ∠w.
(a)
OQ = OR = Radius
∠QOR
= 180° - 31° - 31°
= 118° (Isosceles triangle)
∠v = ∠QOR = 118° (Corresponding angles, NP//OQ)
(b)
∠w
= 180° - 118°
= 62° (Interior angles, PQ//NO)
Answer(s): (a) 118°; (b) 62°