In the figure, X is the centre of a semicircle and XTUV is a rhombus. Given that ∠XVW = 31°, find
- ∠a
- ∠b
(a)
∠XVW
= ∠XWV
= 31° (Isosceles triangle)
∠VXW
= 180° - 31° - 31°
= 118° (Angles sum of triangle)
∠a
= ∠VXW
= 118° (Corresponding angles)
(b)
∠b
= 180° - 118°
= 62° (Interior angles)
Answer(s): (a) 118°; (b) 62°