MATH SOLVE

10 months ago

Q:
# The measurement of the complement of an angle exceeds the measure of the angle by 25%. Find the measurement of the angle and its complement.

Accepted Solution

A:

Let the angles be A and C

Complimentary angles, therefor

A + C = 90

The measurement of the complement of an angle exceeds the measure of the angle by 25% (you used a % sign so I'll use % instead of degrees)

C = 1.25A

Substitute

A + 1.25A = 90

2.25A = 90

A = 40º <-----

C = 50º <-----

------------------------------

If you meant 25º

A + (A + 25) = 90

2A + 25 = 90

2A = 65

A = 32.5º

C = 57.5º

Complimentary angles, therefor

A + C = 90

The measurement of the complement of an angle exceeds the measure of the angle by 25% (you used a % sign so I'll use % instead of degrees)

C = 1.25A

Substitute

A + 1.25A = 90

2.25A = 90

A = 40º <-----

C = 50º <-----

------------------------------

If you meant 25º

A + (A + 25) = 90

2A + 25 = 90

2A = 65

A = 32.5º

C = 57.5º