And angle measures 54° 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