In the figure, V is the centre of a semicircle and VRST is a rhombus. Given that ∠VTU = 25°, find
- ∠r
- ∠s
(a)
∠VTU
= ∠VUT
= 25° (Isosceles triangle)
∠TVU
= 180° - 25° - 25°
= 130° (Angles sum of triangle)
∠r
= ∠TVU
= 130° (Corresponding angles)
(b)
∠s
= 180° - 130°
= 50° (Interior angles)
Answer(s): (a) 130°; (b) 50°