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) About Me  (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.
%283x+%2B+6%29%2B%282x+-+1%29=180+
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: x=35.
  • Graphical form: Equation %283x%2B6%29%2B%282x-1%29=180 was fully solved.
  • Text form: (3x+6)+(2x-1)=180 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+%283x%2B6%29%2B%282x-1%29=180+%29
    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 highlight_red%28+%283%2Ax%2B6%29+%29%2B%282%2Ax-1%29=180.
Remove unneeded parentheses around terms highlight_red%28+3%2Ax+%29,highlight_red%28+6+%29
It becomes highlight_green%28+3%2Ax+%29%2Bhighlight_green%28+6+%29%2B%282%2Ax-1%29=180.
Look at 3%2Ax%2B6%2Bhighlight_red%28+%282%2Ax-1%29+%29=180.
Remove unneeded parentheses around terms highlight_red%28+2%2Ax+%29,highlight_red%28+-1+%29
It becomes 3%2Ax%2B6%2Bhighlight_green%28+2%2Ax+%29-highlight_green%28+1+%29=180.
Look at 3%2Ax%2Bhighlight_red%28+6+%29%2B2%2Ax-highlight_red%28+1+%29=180.
Added fractions or integers together
It becomes 3%2Ax%2Bhighlight_green%28+5+%29%2B2%2Ax=180.
Look at 3%2Ax%2Bhighlight_red%28+5+%29%2B2%2Ax=180.
Moved 5 to the right of expression
It becomes 3%2Ax%2B2%2Ax%2Bhighlight_green%28+5+%29=180.
Look at highlight_red%28+3%2Ax+%29%2Bhighlight_red%28+2%2Ax+%29%2B5=180.
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 highlight_green%28+%283%2B2%29%2Ax+%29%2B5=180.
Look at %28highlight_red%28+3+%29%2Bhighlight_red%28+2+%29%29%2Ax%2B5=180.
Added fractions or integers together
It becomes %28highlight_green%28+5+%29%29%2Ax%2B5=180.
Look at highlight_red%28+%28highlight_red%28+5+%29%29%2Ax+%29%2B5=180.
Remove unneeded parentheses around factor highlight_red%28+5+%29
It becomes highlight_green%28+5+%29%2Ax%2B5=180.
Look at 5%2Ax%2B5=highlight_red%28+180+%29.
Moved these terms to the left highlight_green%28+-180+%29
It becomes 5%2Ax%2B5-highlight_green%28+180+%29=0.
Look at 5%2Ax%2Bhighlight_red%28+5+%29-highlight_red%28+180+%29=0.
Added fractions or integers together
It becomes 5%2Ax%2Bhighlight_green%28+-175+%29=0.
Look at 5%2Ax%2Bhighlight_red%28+-175+%29=0.
Removed extra sign in front of -175
It becomes 5%2Ax-highlight_green%28+175+%29=0.
Look at highlight_red%28+5%2Ax-175+%29=0.
Solved linear equation highlight_red%28+5%2Ax-175=0+%29 equivalent to 5*x-175 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: x=35.

Universal Simplifier and Solver


Done!

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


Supplementary angles sum to 180 degrees, so



Just solve for

John