In the figure, PSVY is a rectangle, VWYZ is a rhombus and STUV is a parallelogram. ∠VWY = 76° and ∠UVW = 95°.
- Find ∠RVS
- Find ∠VUT
(a)
∠YZV = ∠YWV = 76°
∠ZVY
= (180° - 76°) ÷ 2
= 104° ÷ 2
= 52° (Isosceles triangle)
∠RVS
= 90° - 52°
= 38°
(b)
∠SVU
= 360° - 95° - 90° - 52°
= 123° (Angles at a point)
∠TUV
= 180° - 123°
= 57° (Interior Angles, SV//TF)
Answer(s): (a) 38°; (b) 57°