In the figure, not drawn to scale, O is the centre of the semi circle and OKLM is a rhombus. ∠OMN = 33°. Find
- ∠a
- ∠b.
(a)
OM = ON = Radius
∠MON
= 180° - 33° - 33°
= 114° (Isosceles triangle)
∠a = ∠MON = 114° (Corresponding angles, KL//OM)
(b)
∠b
= 180° - 114°
= 66° (Interior angles, LM//KO)
Answer(s): (a) 114°; (b) 66°