In the figure, V is the centre of a semicircle and VRST is a rhombus. Given that ∠VTU = 29°, find
- ∠a
- ∠b
(a)
∠VTU
= ∠VUT
= 29° (Isosceles triangle)
∠TVU
= 180° - 29° - 29°
= 122° (Angles sum of triangle)
∠a
= ∠TVU
= 122° (Corresponding angles)
(b)
∠b
= 180° - 122°
= 58° (Interior angles)
Answer(s): (a) 122°; (b) 58°