In the figure, not drawn to scale, O is the centre of the semi circle and OPQR is a rhombus. ∠ORS = 31°. Find
- ∠n
- ∠p.
(a)
OR = OS = Radius
∠ROS
= 180° - 31° - 31°
= 118° (Isosceles triangle)
∠n = ∠ROS = 118° (Corresponding angles, PQ//OR)
(b)
∠p
= 180° - 118°
= 62° (Interior angles, QR//PO)
Answer(s): (a) 118°; (b) 62°