In the figure, W is the centre of a semicircle and WSTU is a rhombus. Given that ∠WUV = 29°, find
- ∠c
- ∠d
(a)
∠WUV
= ∠WVU
= 29° (Isosceles triangle)
∠UWV
= 180° - 29° - 29°
= 122° (Angles sum of triangle)
∠c
= ∠UWV
= 122° (Corresponding angles)
(b)
∠d
= 180° - 122°
= 58° (Interior angles)
Answer(s): (a) 122°; (b) 58°