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 = 50° and ∠YVZ = 27°. Find
- ∠SVU
- ∠VXW
(a)
∠SVZ
= (180° - 50°) ÷ 2
= 65° (Isosceles triangle)
∠SVU
= 180° - 65°
= 115° (Angles on a straight line)
(b)
∠XVW
= 65° - 27°
= 38°
∠VXW
= (180° - 38°) ÷ 2
= 71 ° (Isosceles triangle)
Answer(s): (a) 115°; (b) 71°