In the figure, not drawn to scale, O is the centre of the semi circle and OKLM is a rhombus. ∠OMN = 32°. Find
- ∠c
- ∠d.
(a)
OM = ON = Radius
∠MON
= 180° - 32° - 32°
= 116° (Isosceles triangle)
∠c = ∠MON = 116° (Corresponding angles, KL//OM)
(b)
∠d
= 180° - 116°
= 64° (Interior angles, LM//KO)
Answer(s): (a) 116°; (b) 64°