In the figure, Y is the centre of a semicircle and YUVW is a rhombus. Given that ∠YWX = 30°, find
- ∠x
- ∠y
(a)
∠YWX
= ∠YXW
= 30° (Isosceles triangle)
∠WYX
= 180° - 30° - 30°
= 120° (Angles sum of triangle)
∠x
= ∠WYX
= 120° (Corresponding angles)
(b)
∠y
= 180° - 120°
= 60° (Interior angles)
Answer(s): (a) 120°; (b) 60°