Two adjacent angles, 1 and 2, form a resulting angle with measure 135°. If m 1 = (2×)° and m 2 = (2×+7)°, what are the two unknown angle measures?

Let's call the measure of angle 1 = x°

Therefore, measure of angle 2 = (x+7)°
The sum of the measures of angle 1 and angle 2 is equal to the measure of the resulting angle:
x + x + 7 = 135
2x + 7 = 135
2x = 135 - 7
2x = 128
x = 128/2
x = <<64=64>>64
Therefore, the measure of angle 1 is 64° and the measure of angle 2 is (64+7) = <<64+7=71>>71°. Answer: \boxed{64, 71}.