Question

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

Answer 1

Answer:

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