Question

12. Quadrilateral VWXY is a parallelogram. Find the measure of V.A. 120°B. 60°C. 52°D. 38°

Answer 1

In the given figure, VWXY is a parallelogaram

and angle XYV=60

Since, XY is parallel to WV and the line VY is acting as a transversal

So, angle XYV and angle WVY are the supplementary angles

and

The sum of supplementary angles are always equal to 180 degree.

`\begin{gathered} \angle XYV+\angle YVW=180^(\circ) \\ 60+\angle YVW=180 \\ \angle YVW=180-60 \\ \angle YVW=120^(\circ) \end{gathered}`

So angle V is 120 V=120

Answer:

A) 120