DF and EC are vertical angles, so they should have the same measure.
EC and its two adjacent angles meet to form a straight angle, which is 180 degrees.
x-10+x-11+3x+6=180
5x-15=180
5x=195
x= 39
Since y is the vertical angle of 3x+6, they should be equivalent. Plug in x to find y.
3(39)+6
117+6
123=y
Final answer: y=123, x=39