In the figure, not drawn to scale, O is the centre of the semi circle and ONPQ is a rhombus. ∠OQR = 30°. Find
- ∠c
- ∠d.
(a)
OQ = OR = Radius
∠QOR
= 180° - 30° - 30°
= 120° (Isosceles triangle)
∠c = ∠QOR = 120° (Corresponding angles, NP//OQ)
(b)
∠d
= 180° - 120°
= 60° (Interior angles, PQ//NO)
Answer(s): (a) 120°; (b) 60°