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.

answer set (b) 0.5, 3/4 80% is in order from least to greatest.  

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form.   typically, the best form in which to evaluate rational numbers is in decimals.   in order to convert a percent to a decimal, you would divide the given percentage by 100.   you can also accomplish the conversion by moving the decimal point over two places to the left.   for example, the decimal value of 80% is 80/100, or 0.8.   in order to convert a fraction to a decimal, you need to divide the numerator by the denominator.   for example, 3/4 is 0.75.   so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.  

8 2/3 is the answer

step-by-step explanation: just use a calculator