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 = 51° and ∠YVZ = 34°. Find
- ∠SVU
- ∠VXW
(a)
∠SVZ
= (180° - 51°) ÷ 2
= 64.5° (Isosceles triangle)
∠SVU
= 180° - 64.5°
= 115.5° (Angles on a straight line)
(b)
∠XVW
= 64.5° - 34°
= 30.5°
∠VXW
= (180° - 30.5°) ÷ 2
= 74.75 ° (Isosceles triangle)
Answer(s): (a) 115.5°; (b) 74.75°