In the figure, UVX is a triangle with VX = VU, while TUVW is a parallelogram and WVX is a straight line. Given ∠VWT = 94°, ∠SVX = 140° and ∠TSV = 50°, find
- ∠VUX
- ∠SVU
(a)
∠TWV
= ∠UVX
= 94° (Corresponding angles)
∠VUX
= (180° - 94°) ÷ 2
= 43° (Isosceles triangle)
(b)
∠SVU
= 360° - 140° - 94°
= 126° (Angles at a point)
Answer(s): (a) 43°; (b) 126°