SOLUTION: The measure of 2 supplementary angles are represented by (3x+10)degrees and (7x-40)degrees. Can you help me understand how to determine the measure of each angle?

Question 229572: The measure of 2 supplementary angles are represented by (3x+10)degrees and (7x-40)degrees. Can you help me understand how to determine the measure of each angle?
Found 2 solutions by stanbon, drj:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The measure of 2 supplementary angles are represented by (3x+10)degrees and (7x-40)degrees. Can you help me understand how to determine the measure of each angle?
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Supplementary angles add up to 180 degrees
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Equation:
3x+10 + 7x-40 = 180
10x -30 = 180
10x = 210
x = 21
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1st angle = 3x+10 = 3*21+10 = 73 degrees
2nd angle = 7x-40 = 7*21-40 = 147-40 = 107 degrees
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Cheers,
Stan H.
Answer by drj(1380) (Show Source): You can put this solution on YOUR website!
The measure of 2 supplementary angles are represented by (3x+10)degrees and (7x-40)degrees. Can you help me understand how to determine the measure of each angle?

Step 1. Two angles are supplementary when they add up to 180 degrees.

Step 2. Then (3x+10)+(7x-40)=180.

Step 3. Solving (3x+10)+(7x-40)=180 yields the following steps

Add like terms

Add 30 to both sides of the equation to get numbers only on one side and variables on the other side.

Divide by 10 to both sides of the equation

and . Note the angles 73 and 107 add up to 180 degrees.

Step 4. ANSWER: The angles are 73 and 107 degrees.

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.

Good luck in your studies!

Respectfully,
Dr J
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