In the figure, not drawn to scale, O is the centre of the semi circle and OCDE is a rhombus. ∠OEF = 30°. Find
- ∠x
- ∠y.
(a)
OE = OF = Radius
∠EOF
= 180° - 30° - 30°
= 120° (Isosceles triangle)
∠x = ∠EOF = 120° (Corresponding angles, CD//OE)
(b)
∠y
= 180° - 120°
= 60° (Interior angles, DE//CO)
Answer(s): (a) 120°; (b) 60°