In the figure, wy¯¯¯¯¯¯¯¯¯wy¯ and xz¯¯¯¯¯¯¯¯xz¯ intersect at point vv, the measure of ∠wvz∠wvz is (11x−19)°(11x−19)°, and the measure of ∠wvx∠wvx is (8x+28)°(8x+28)°. what is the measure of ∠yvz∠yvz?

Assuming a diagram similar to the one I've attached, ∠YVZ is a vertical angle to ∠WVX, which means they have an equal measure.  Additionally, ∠WVZ and ∠WVX form a linear pair, which means they are supplementary (sum to 180°).  That means we start out with the equation

We combine our like terms (the x's get combined, then the constants get combined) and have:

Cancel the 9 first by subtraction:

Cancel the 19 by division:

Since we know that our angle we're looking for, ∠YVZ, is the same measure as ∠WVX, we substitute 9 in for x:
8(9)+28=72+28=100°

9/12 is the answer because 3/4 times 3 each is 9/12