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 = 47° and ∠YVZ = 35°. Find
- ∠SVU
- ∠VXW
(a)
∠SVZ
= (180° - 47°) ÷ 2
= 66.5° (Isosceles triangle)
∠SVU
= 180° - 66.5°
= 113.5° (Angles on a straight line)
(b)
∠XVW
= 66.5° - 35°
= 31.5°
∠VXW
= (180° - 31.5°) ÷ 2
= 74.25 ° (Isosceles triangle)
Answer(s): (a) 113.5°; (b) 74.25°