)find the measure of angle x in the figure below:

Okay, to solve for X and Y, you have to know how many degrees makes up a triangle, which is 180 degrees. so you will have to have an equation to solve for Y first
Equation 1
1. Set up your equation --- 60+50+Y=180
2. Add both 60 and 50 together --- 110+Y=180
3. Subtract 110 to the other side --- Y=70
Y=70 degrees

Next, you know that opposite angles are always the same, so if Y=70 degrees, X must equal 70 degrees as well.

i hope this will help you out!