In the figure, Y is the centre of a semicircle and YUVW is a rhombus. Given that ∠YWX = 25°, find
- ∠w
- ∠x
(a)
∠YWX
= ∠YXW
= 25° (Isosceles triangle)
∠WYX
= 180° - 25° - 25°
= 130° (Angles sum of triangle)
∠w
= ∠WYX
= 130° (Corresponding angles)
(b)
∠x
= 180° - 130°
= 50° (Interior angles)
Answer(s): (a) 130°; (b) 50°