In the figure, V is the centre of a semicircle and VRST is a rhombus. Given that ∠VTU = 31°, find
- ∠f
- ∠g
(a)
∠VTU
= ∠VUT
= 31° (Isosceles triangle)
∠TVU
= 180° - 31° - 31°
= 118° (Angles sum of triangle)
∠f
= ∠TVU
= 118° (Corresponding angles)
(b)
∠g
= 180° - 118°
= 62° (Interior angles)
Answer(s): (a) 118°; (b) 62°