In the figure, V is the centre of a semicircle and VRST is a rhombus. Given that ∠VTU = 27°, find
- ∠f
- ∠g
(a)
∠VTU
= ∠VUT
= 27° (Isosceles triangle)
∠TVU
= 180° - 27° - 27°
= 126° (Angles sum of triangle)
∠f
= ∠TVU
= 126° (Corresponding angles)
(b)
∠g
= 180° - 126°
= 54° (Interior angles)
Answer(s): (a) 126°; (b) 54°