In the figure, Y is the centre of a semicircle and YUVW is a rhombus. Given that ∠YWX = 29°, find
- ∠f
- ∠g
(a)
∠YWX
= ∠YXW
= 29° (Isosceles triangle)
∠WYX
= 180° - 29° - 29°
= 122° (Angles sum of triangle)
∠f
= ∠WYX
= 122° (Corresponding angles)
(b)
∠g
= 180° - 122°
= 58° (Interior angles)
Answer(s): (a) 122°; (b) 58°