If angles 1 and 2 are complementary, they add up to 90 degrees. If they are also congruent, that means they are equal in measurement. So, we can set both angles to be equal, calling them both x. Thus, we have the equation:
x + x = 90
This simplifies to:
2x = 90
Now, dividing both sides by 2, we find the measure of angle 1:
x = 45
Therefore, the measure of angle 1, as well as angle 2, is 45 degrees.