In the figure, W is the centre of a semicircle and WSTU is a rhombus. Given that ∠WUV = 26°, find
- ∠p
- ∠q
(a)
∠WUV
= ∠WVU
= 26° (Isosceles triangle)
∠UWV
= 180° - 26° - 26°
= 128° (Angles sum of triangle)
∠p
= ∠UWV
= 128° (Corresponding angles)
(b)
∠q
= 180° - 128°
= 52° (Interior angles)
Answer(s): (a) 128°; (b) 52°