SOLUTION: The measurement of two supplementary agles are (3x + 6)and (2x - 1). Find the measure of x.

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Question 306914: The measurement of two supplementary agles are (3x + 6)and (2x - 1). Find the measure of x.
Found 2 solutions by ichudov, solver91311:
Answer by ichudov(507)   (Show Source): You can put this solution on YOUR website!
Two Angles are Supplementary if they add up to 180 degrees.
So, angles (3x + 6)and (2x - 1) add up to 180 degrees.

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YOUR ANSWER


  • This is an equation! Solutions: x=35.
  • Graphical form: Equation was fully solved.
  • Text form: (3x+6)+(2x-1)=180 simplifies to 0=0
  • Cartoon (animation) form:
    For tutors: simplify_cartoon( (3x+6)+(2x-1)=180 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at .
Remove unneeded parentheses around terms highlight_red%28+3%2Ax+%29,highlight_red%28+6+%29
It becomes .
Look at .
Remove unneeded parentheses around terms highlight_red%28+2%2Ax+%29,highlight_red%28+-1+%29
It becomes .
Look at .
Added fractions or integers together
It becomes .
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Moved 5 to the right of expression
It becomes .
Look at .
Eliminated similar terms highlight_red%28+3%2Ax+%29,highlight_red%28+2%2Ax+%29 replacing them with highlight_green%28+%283%2B2%29%2Ax+%29
It becomes .
Look at .
Added fractions or integers together
It becomes .
Look at .
Remove unneeded parentheses around factor highlight_red%28+5+%29
It becomes .
Look at .
Moved these terms to the left highlight_green%28+-180+%29
It becomes .
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Added fractions or integers together
It becomes .
Look at .
Removed extra sign in front of -175
It becomes .
Look at .
Solved linear equation highlight_red%28+5%2Ax-175=0+%29 equivalent to 5*x-175 =0
It becomes .
Result:
This is an equation! Solutions: x=35.

Universal Simplifier and Solver


Done!
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


Supplementary angles sum to 180 degrees, so



Just solve for

John
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