In the figure, W is the centre of a semicircle and WSTU is a rhombus. Given that ∠WUV = 28°, find
- ∠b
- ∠c
(a)
∠WUV
= ∠WVU
= 28° (Isosceles triangle)
∠UWV
= 180° - 28° - 28°
= 124° (Angles sum of triangle)
∠b
= ∠UWV
= 124° (Corresponding angles)
(b)
∠c
= 180° - 124°
= 56° (Interior angles)
Answer(s): (a) 124°; (b) 56°