In the figure, PSVY is a rectangle, VWYZ is a rhombus and STUV is a parallelogram. ∠VWY = 78° and ∠UVW = 94°.
- Find ∠RVS
- Find ∠VUT
(a)
∠YZV = ∠YWV = 78°
∠ZVY
= (180° - 78°) ÷ 2
= 102° ÷ 2
= 51° (Isosceles triangle)
∠RVS
= 90° - 51°
= 39°
(b)
∠SVU
= 360° - 94° - 90° - 51°
= 125° (Angles at a point)
∠TUV
= 180° - 125°
= 55° (Interior Angles, SV//TF)
Answer(s): (a) 39°; (b) 55°