In the figure, PSVY is a rectangle, VWYZ is a rhombus and STUV is a parallelogram. ∠VWY = 72° and ∠UVW = 96°.
- Find ∠RVS
- Find ∠VUT
(a)
∠YZV = ∠YWV = 72°
∠ZVY
= (180° - 72°) ÷ 2
= 108° ÷ 2
= 54° (Isosceles triangle)
∠RVS
= 90° - 54°
= 36°
(b)
∠SVU
= 360° - 96° - 90° - 54°
= 120° (Angles at a point)
∠TUV
= 180° - 120°
= 60° (Interior Angles, SV//TF)
Answer(s): (a) 36°; (b) 60°