NOTE: Angles not necessarily drawn to size . what is x?

45

Step-by-step explanation: 160-115= 45 you do this because the angles are across the vertex from each other.

X=45

Step-by-step explanation:

Method 1 ( the long one)

So AED and CEB are vertical angles, that means that the are the same and have the same value.

So 115 plus x equal 160.

                            115 + x = 160

from there we just have to subtract 115 from both sides to get x by itself.

                            115 + x = 160

                           -115         -115

                                   x=45

Method 2 (short one

If you know that those are vertical angles, then just subtract 115 from 160 and there you go. You get 45.