In the figure, SVYB is a rectangle, YZBC is a rhombus and VWXY is a parallelogram. ∠YZB = 74° and ∠XYZ = 92°.
- Find ∠UYV
- Find ∠YXW
(a)
∠BCY = ∠BZY = 74°
∠CYB
= (180° - 74°) ÷ 2
= 106° ÷ 2
= 53° (Isosceles triangle)
∠UYV
= 90° - 53°
= 37°
(b)
∠VYX
= 360° - 92° - 90° - 53°
= 125° (Angles at a point)
∠WXY
= 180° - 125°
= 55° (Interior Angles, VY//WF)
Answer(s): (a) 37°; (b) 55°