about angles(complementary)

Question

two angles are complementary. One of the measures is 3 less than 5 times the other. What are the measures of the two angles?

Answer 1

Juliana,

Based on what we know, the sum of both angles is 90 degrees.

Lets call them angle A and angle B

A + B = 90

Angle A:

One of the measures is 3 less than 5 times the other.

A = 5B - 3

A + B

5B-3 + B = 90

6B - 3 = 90

6B = 90 + 3

6B = 93

B = 15.5

A = 5B -3 = 5(15.5) - 3 = 74.5

Angle A = 74.5

Angle B = 15.5

I hope this helps

Please feel free to reach out to me if you still need me to clarify.

Thanks,

Richmond