Question

In the figure below, XY WZ and are cut by transversals←→ XV and←−→ YW .

What is the measure of VWZ?

Answer 1

62 degrees, if XV and YW are perpendicular.

Explanation:

If we take XV and YW as perpendicular, then we will get this:

Since, we know that WYX is simply

WYX = 180 - 90 - 52

WYX = 48

and so, VWZ should be

VWZ = 90 - 38

VWZ = 62

Answer 2

52°

Explanation:

Parallel lines XY and WZ are cut by a transversal XV.

Angles WXY and VWZ are corresponding angles.

The Corresponding Angles Theorem states: If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent.

Thus,

`m\angle VWZ=m\angle WXY=52^(\circ)`