The measure of one angle is six more than half the measure of another angle. if the angles are complementary, find both measures?

The measure of the angles are 34° and 56°

Step-by-step explanation:

Let

x > the measure of one angle

y > the measure of another angle

we know that

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

so

x+y=90° > equation A

x=0.5y+6 > equation B

substitute equation B in equation A and solve for y

0.5y+6+y=90

1.5y=90-6

1.5y=84

y=56°

Find the value of x

x=0.5(56)+6=34°

therefore

The measure of the angles are 34° and 56°