In the figure, not drawn to scale, O is the centre of the semi circle and OPQR is a rhombus. ∠ORS = 32°. Find
- ∠x
- ∠y.
(a)
OR = OS = Radius
∠ROS
= 180° - 32° - 32°
= 116° (Isosceles triangle)
∠x = ∠ROS = 116° (Corresponding angles, PQ//OR)
(b)
∠y
= 180° - 116°
= 64° (Interior angles, QR//PO)
Answer(s): (a) 116°; (b) 64°