An angle measures 54 degrees more than the measure of its complementary angle. what is the measure of each angle?

The measure of the angles are 72 degrees and 18 degrees

Step-by-step explanation:

we know that

If two angles are complementary, then their sum is equal to 90 degrees

Let

x > the measure of an angle

y> the measure of he other angle

we know that

x+y=90 > y=90-x > equation A

x=y+54 > equation B

substitute equation B in equation A and solve for y

y=90-(y+54)

y=90-y-54

2y=36

y=18°

Find the value of x

x=y+54 > x=18+54=72°

therefore

The measure of the angles are 72 degrees and 18 degrees