In the figure, SVYB is a rectangle, YZBC is a rhombus and VWXY is a parallelogram. ∠YZB = 80° and ∠XYZ = 93°.
- Find ∠UYV
- Find ∠YXW
(a)
∠BCY = ∠BZY = 80°
∠CYB
= (180° - 80°) ÷ 2
= 100° ÷ 2
= 50° (Isosceles triangle)
∠UYV
= 90° - 50°
= 40°
(b)
∠VYX
= 360° - 93° - 90° - 50°
= 127° (Angles at a point)
∠WXY
= 180° - 127°
= 53° (Interior Angles, VY//WF)
Answer(s): (a) 40°; (b) 53°