The image shown has two triangles sharing a vertex:

there are two triangles labeled uvw and wxz with a common vertex w. in triangle uvw, angle vuw is labeled as y, and angle wvu is labeled as 50 degrees. in triangle wxz, angle wxz is labeled as 50 degrees.

what is the measure of ∠wzx, and why?

40°.

Step-by-step explanation:

We can see from the diagram (in the comments) that ∠UWV and ∠XWZ are vertical angles; this is because they are opposite angles that share only a vertex.  

We can also see that both of these angles are 90°.

This gives us two angle measures of triangle WXZ, 50 and 90.  We know that the sum of the measures of the angles of a triangle is 180°; this gives us

180-(50+90) = 180-140 = 40° for the angle.

could

step-by-step explanation:

u send me a picture of ur work

1/800 is the right answer