In the figure, not drawn to scale, O is the centre of the semi circle and OPQR is a rhombus. ∠ORS = 29°. Find
- ∠s
- ∠t.
(a)
OR = OS = Radius
∠ROS
= 180° - 29° - 29°
= 122° (Isosceles triangle)
∠s = ∠ROS = 122° (Corresponding angles, PQ//OR)
(b)
∠t
= 180° - 122°
= 58° (Interior angles, QR//PO)
Answer(s): (a) 122°; (b) 58°