In the figure, not drawn to scale, O is the centre of the semi circle and OCDE is a rhombus. ∠OEF = 33°. Find
- ∠a
- ∠b.
(a)
OE = OF = Radius
∠EOF
= 180° - 33° - 33°
= 114° (Isosceles triangle)
∠a = ∠EOF = 114° (Corresponding angles, CD//OE)
(b)
∠b
= 180° - 114°
= 66° (Interior angles, DE//CO)
Answer(s): (a) 114°; (b) 66°