In the figure, not drawn to scale, O is the centre of the semi circle and OPQR is a rhombus. ∠ORS = 33°. Find
- ∠n
- ∠p.
(a)
OR = OS = Radius
∠ROS
= 180° - 33° - 33°
= 114° (Isosceles triangle)
∠n = ∠ROS = 114° (Corresponding angles, PQ//OR)
(b)
∠p
= 180° - 114°
= 66° (Interior angles, QR//PO)
Answer(s): (a) 114°; (b) 66°