Two angles are complementary if the sum of their measures is 90°. If x is the measure of the angle, then 90−x is the measure of the complement, both in degrees.

Using the given statement, we can write:

x=5(90−x)−6

Solve for x:

x=450−5x−6

x=444−5x

6x=444

x=74

So, the measure of the complement is 90−74=16°.

Using the given statement, we can write:

x=5(90−x)−6

Solve for x:

x=450−5x−6

x=444−5x

6x=444

x=74

So, the measure of the complement is 90−74=16°.