A figure displays two complementary nonadjacent angles. If one of the angles has a measure of 39, what is the other angle measure?

Since the two angles are complementary, they add up to 90 degrees.

Let x be the measure of the other angle.

So, 39 + x = 90

Subtracting 39 from both sides, we get:

x = 90 - 39

x = 51

Therefore, the measure of the other angle is 51 degrees.