SOLUTION: An angle is 25 degrees less than the measure of its complement. What is the measure of the smaller angle?

Question 175051: An angle is 25 degrees less than the measure of its complement. What is the measure of the smaller angle?
Found 2 solutions by Mathtut, actuary:
Answer by Mathtut(3670) (Show Source): You can put this solution on YOUR website!
complemetary means 2 angles, when added together equal 90 degrees
:
let a and be be the complementary angles so a+b=90 ....let b=a-25....so plug b's value into the equation a+b=90
:
a+a-25=90
2a=115
:

so
:
check
57.5+32.5=90 and 57.5-32.5=25

Answer by actuary(112) (Show Source): You can put this solution on YOUR website!
Complementary angles are angle such that the sum of their measure is 90 degrees.
If x is measure of the unknown angle, the measure of the complement of the angle is 90 - x.
The facts of the problem lead to the equation
So x (the measure of the unknown angle) = (90-x)-25
Manipulate the equation so that all terms involving the unknown "x" are on the same side of the equation.
So, 2x=90-25=65
Solve for x.
x = 65/2= 32.5 degrees.
I hope that this helps.
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