Since angles that are vertical to each other are equal to each other, the first thing I did is set 45 equal to 4x+1 which would look something like this: 45=4x+1
Then I solved for x. First, I subtracted 1 from each side to isolate 4x which would get me to 4x=44. Then I divided each side by 4 to isolate x and get me to my answer which would be x=11.