By looking at the given picture, we can see that angle 1 and 5 are alternate exterior angles, which makes them equal. So, if we equate the two given expressions together, we get:
19x + 1 = 15x + 13
Now, all we need to do is solve for x and then plug it back into the expression for angle 1 to get its measure. We find that x = 3, so if we plug it back into the expression for angle 1, we get 56 degrees. The measure of angle 1 is 56 degrees.
