In the figure, not drawn to scale, O is the centre of the semi circle and OWXY is a rhombus. ∠OYZ = 31°. Find
- ∠p
- ∠q.
(a)
OY = OZ = Radius
∠YOZ
= 180° - 31° - 31°
= 118° (Isosceles triangle)
∠p = ∠YOZ = 118° (Corresponding angles, WX//OY)
(b)
∠q
= 180° - 118°
= 62° (Interior angles, XY//WO)
Answer(s): (a) 118°; (b) 62°