In the figure, W is the centre of a semicircle and WSTU is a rhombus. Given that ∠WUV = 27°, find
- ∠c
- ∠d
(a)
∠WUV
= ∠WVU
= 27° (Isosceles triangle)
∠UWV
= 180° - 27° - 27°
= 126° (Angles sum of triangle)
∠c
= ∠UWV
= 126° (Corresponding angles)
(b)
∠d
= 180° - 126°
= 54° (Interior angles)
Answer(s): (a) 126°; (b) 54°