Question

How would I figure this out?

Answer 1

Ok in this type of problem the angles that are adjacent are equal to 180 also known as supplementary so...
6x+35+8x-23=180
14x+12=180
14x=168
x=12

3y+y+88=180
4y+88=180
4y=92
y=23
And what I think is wrong with the figure is that the vertical angles are not congruent
*double check all this info

Answer 2

y = 23

x ≈ 13

Explanation:

3y + (y+88) = 180

Solve for y

y =23

6x + 35 = y + 88

substitute y = 23

6x + 35 = 23 + 88

Solve for x

x ≈ 13