SOLUTION: The measure of an angle is four less than the measure of it complement. Find the measure of the angle.

Algebra.Com
Question 218026: The measure of an angle is four less than the measure of it complement. Find the measure of the angle.
Found 2 solutions by rfer, drjstudent:
Answer by rfer(16322)   (Show Source): You can put this solution on YOUR website!
x+x-4=90
2x=94
x=47 degrees
x-4=43 degrees

Answer by drjstudent(2)   (Show Source): You can put this solution on YOUR website!
The measure of an angle is four less than the measure of it complement. Find the measure of the angle.

Step 1. Complementary angles means two angles add up to 90 degrees.

Step 2. Let x be the angle.

Step 3. Let 90-x be its complement

Step 4. Let x=90-x-4 since the measure of an angle is four less than the measure of it complement

Step 5. Solving yields the following steps.

Add x to both sides of the equation





Divide 2 to both sides of the equation





Step 6. ANSWER: The angle is 43 degrees.

I hope the above steps were helpful.

For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

And good luck in your studies!

Respectfully,
Dr J
drjctu@gmail.com
http://www.FreedomUniversity.TV
http://www.Facebook.com/FreedomUniversity.TV
http://www.Twitter.com/FreedomUTV

RELATED QUESTIONS

Find the measure of an angle if its measure is 5degrees less than four times the measure... (answered by unlockmath,ankor@dixie-net.com)
The measure of the supplement of an angle is 30 less than four times the measure of the... (answered by drj)
The measure of the supplement of an angle is 30 less than four times the measure of the... (answered by rfer)
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)
The measure of the supplement of an angle is 15 degrees less than four times the measure... (answered by checkley71)
The measure of the supplement of an angle is 15 degrees less than four times the measure... (answered by checkley71)
The measure of the supplement of an angle is 15 degrees less than four times the measure... (answered by jcmtnez)
The measure of the supplement of an angle is 15 degrees less than four times the measure... (answered by ankor@dixie-net.com)