In the figure, X is the centre of a semicircle and XTUV is a rhombus. Given that ∠XVW = 29°, find
- ∠x
- ∠y
(a)
∠XVW
= ∠XWV
= 29° (Isosceles triangle)
∠VXW
= 180° - 29° - 29°
= 122° (Angles sum of triangle)
∠x
= ∠VXW
= 122° (Corresponding angles)
(b)
∠y
= 180° - 122°
= 58° (Interior angles)
Answer(s): (a) 122°; (b) 58°