In the figure, Y is the centre of a semicircle and YUVW is a rhombus. Given that ∠YWX = 28°, find
- ∠e
- ∠f
(a)
∠YWX
= ∠YXW
= 28° (Isosceles triangle)
∠WYX
= 180° - 28° - 28°
= 124° (Angles sum of triangle)
∠e
= ∠WYX
= 124° (Corresponding angles)
(b)
∠f
= 180° - 124°
= 56° (Interior angles)
Answer(s): (a) 124°; (b) 56°