SOLUTION: The measure of the complement of an angle is 15 less than half the measure of the angle. What is the measure of the supplement of the angle?

Question 220652: The measure of the complement of an angle is 15 less than half the measure of the angle. What is the measure of the supplement of the angle?
Answer by tutor_paul(519) (Show Source): You can put this solution on YOUR website!
First, find the angle. Let A be the Angle, and C be it's complement.
Since the angles are complimentary, you can write this equation:
Equation #1:
From the information given, you can write this equation:
Equation #2:
You have 2 equations with two unknowns. Solve Equation #1 for C:

Substitute this expression for C into Equation #2:

Solve for A:

Now that you have the angle, you can find its supplement (S) via the following equation:

=============
Good Luck,
tutor_paul@yahoo.com

RELATED QUESTIONS
the measure of the complement of an angle is 6 degrees less than half the measure of the... (answered by ilana)

three times the measure of an angle is 15 less than the measure of its complement. Find... (answered by dkppathak)

The measure of an angle is four less than the measure of it complement. Find the measure... (answered by rfer,drjstudent)

The measure of an angle is 27 less than the measure of its complement. Find the measure... (answered by cleomenius)

The measure of an angle is 27 less than the measure of its complement. Find the measure... (answered by Fombitz)

an angle is 25 degrees less than the measure of its complement. what is the measure of... (answered by stanbon)

An angle is 25 degrees less than the measure of its complement. What is the measure of... (answered by Mathtut,actuary)

An angle is 25 degrees LESS than the measure of its complement. What is the measure of... (answered by Mathtut,gonzo)

The measure of an angle is 6 less than twice its complement. What is the measure of the... (answered by Alan3354)