In the figure, X is the centre of a semicircle and XTUV is a rhombus. Given that ∠XVW = 25°, find
- ∠p
- ∠q
(a)
∠XVW
= ∠XWV
= 25° (Isosceles triangle)
∠VXW
= 180° - 25° - 25°
= 130° (Angles sum of triangle)
∠p
= ∠VXW
= 130° (Corresponding angles)
(b)
∠q
= 180° - 130°
= 50° (Interior angles)
Answer(s): (a) 130°; (b) 50°