In the figure, not drawn to scale, O is the centre of the semi circle and OTUV is a rhombus. ∠OVW = 31°. Find
- ∠m
- ∠n.
(a)
OV = OW = Radius
∠VOW
= 180° - 31° - 31°
= 118° (Isosceles triangle)
∠m = ∠VOW = 118° (Corresponding angles, TU//OV)
(b)
∠n
= 180° - 118°
= 62° (Interior angles, UV//TO)
Answer(s): (a) 118°; (b) 62°