In the figure, STUV is a trapezium and SVWZ is a rhombus. SV is parallel to TU and VW = VX. ZVU and VYX are straight lines. ∠VSZ = 46° and ∠YVZ = 31°. Find
- ∠SVU
- ∠VXW
(a)
∠SVZ
= (180° - 46°) ÷ 2
= 67° (Isosceles triangle)
∠SVU
= 180° - 67°
= 113° (Angles on a straight line)
(b)
∠XVW
= 67° - 31°
= 36°
∠VXW
= (180° - 36°) ÷ 2
= 72 ° (Isosceles triangle)
Answer(s): (a) 113°; (b) 72°