In the figure, PSVY is a rectangle, VWYZ is a rhombus and STUV is a parallelogram. ∠VWY = 80° and ∠UVW = 92°.
- Find ∠RVS
- Find ∠VUT
(a)
∠YZV = ∠YWV = 80°
∠ZVY
= (180° - 80°) ÷ 2
= 100° ÷ 2
= 50° (Isosceles triangle)
∠RVS
= 90° - 50°
= 40°
(b)
∠SVU
= 360° - 92° - 90° - 50°
= 128° (Angles at a point)
∠TUV
= 180° - 128°
= 52° (Interior Angles, SV//TF)
Answer(s): (a) 40°; (b) 52°