What would I have to do in order to solve this? I'm confused on how to.

x=31 degrees

Step-by-step explanation:

Without the capability to draw the figure, I'll try to explain it.

The angle at the middle where the 23 degree line and the 35 degree line cross is 122 degrees (180-35-23=122).

Since that is an alternate angle situation, the top triangle is:

180-122-27=31 degrees

an easy way would be to say that 35+23=27+x

58=27+x

x=31