In the figure, Y is the centre of a semicircle and YUVW is a rhombus. Given that ∠YWX = 27°, find
- ∠k
- ∠m
(a)
∠YWX
= ∠YXW
= 27° (Isosceles triangle)
∠WYX
= 180° - 27° - 27°
= 126° (Angles sum of triangle)
∠k
= ∠WYX
= 126° (Corresponding angles)
(b)
∠m
= 180° - 126°
= 54° (Interior angles)
Answer(s): (a) 126°; (b) 54°