In the figure, not drawn to scale, O is the centre of the semi circle and OTUV is a rhombus. ∠OVW = 32°. Find
- ∠k
- ∠m.
(a)
OV = OW = Radius
∠VOW
= 180° - 32° - 32°
= 116° (Isosceles triangle)
∠k = ∠VOW = 116° (Corresponding angles, TU//OV)
(b)
∠m
= 180° - 116°
= 64° (Interior angles, UV//TO)
Answer(s): (a) 116°; (b) 64°