SOLUTION: A third of an angle is 4 more than its supplement. Find both angles.

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Question 218352: A third of an angle is 4 more than its supplement. Find both angles.
Found 2 solutions by drj, RAY100:
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
A third of an angle is 4 more than its supplement. Find both angles.

Step 1. Supplementary angles is when two angles add up to 180 degrees.

Step 2. Let x be the angle and x/3 be one-third of the angle

Step 3. Let 180-x be its supplementary angle.

Step 4. x/3=180-x+4=184-x since a third of an angle is 4 more than its supplement.

Step 5. Solving yields the following steps:

Multiply by three to both sides of the equation to yield

3%2Ax%2F3=3%2A184-3%2Ax

x=552-3x

Add 3x to both sides of the equation

x%2B3x=552

4x=552

x=138 and x=42

Check: x/3=180-x+4 or 138/3=42+4 this is a true statement.

Step 6. ANSWER: The angles are 138 and 42.

I hope the above steps were helpful.

For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

And good luck in your studies!

Respectfully,
Dr J
http://www.FreedomUniversity.TV

Answer by RAY100(1637) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = angle,,,,,Let y = supplement = 180-x
.
x/3 = 4+y = 4+(180-x) = 184 -x
.
1.33333x=184
.
x=138,,,,,,,y=42
.
.
check,,,138/3 = 46=4+42=46,,,,,ok
.