In the figure, not drawn to scale, O is the centre of the semi circle and OCDE is a rhombus. ∠OEF = 32°. Find
- ∠a
- ∠b.
(a)
OE = OF = Radius
∠EOF
= 180° - 32° - 32°
= 116° (Isosceles triangle)
∠a = ∠EOF = 116° (Corresponding angles, CD//OE)
(b)
∠b
= 180° - 116°
= 64° (Interior angles, DE//CO)
Answer(s): (a) 116°; (b) 64°