In the figure, not drawn to scale, O is the centre of the semi circle and OCDE is a rhombus. ∠OEF = 31°. Find
- ∠w
- ∠x.
(a)
OE = OF = Radius
∠EOF
= 180° - 31° - 31°
= 118° (Isosceles triangle)
∠w = ∠EOF = 118° (Corresponding angles, CD//OE)
(b)
∠x
= 180° - 118°
= 62° (Interior angles, DE//CO)
Answer(s): (a) 118°; (b) 62°