In the figure, SVYB is a rectangle, YZBC is a rhombus and VWXY is a parallelogram. ∠YZB = 78° and ∠XYZ = 94°.
- Find ∠UYV
- Find ∠YXW
(a)
∠BCY = ∠BZY = 78°
∠CYB
= (180° - 78°) ÷ 2
= 102° ÷ 2
= 51° (Isosceles triangle)
∠UYV
= 90° - 51°
= 39°
(b)
∠VYX
= 360° - 94° - 90° - 51°
= 125° (Angles at a point)
∠WXY
= 180° - 125°
= 55° (Interior Angles, VY//WF)
Answer(s): (a) 39°; (b) 55°