In the figure, X is the centre of a semicircle and XTUV is a rhombus. Given that ∠XVW = 30°, find
- ∠f
- ∠g
(a)
∠XVW
= ∠XWV
= 30° (Isosceles triangle)
∠VXW
= 180° - 30° - 30°
= 120° (Angles sum of triangle)
∠f
= ∠VXW
= 120° (Corresponding angles)
(b)
∠g
= 180° - 120°
= 60° (Interior angles)
Answer(s): (a) 120°; (b) 60°