document.write( "Question 1158336: Two angles are complementary. The measure of one angle is 46° more than three times the measure of the other. Find the measure of each angle. \n" ); document.write( "

Algebra.Com's Answer #781288 by Shin123(626) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let the measure of the shorter angle x. The measure of the longer angle is 3x+46. And since the angles are complementary, we have $\"x%2B%283x%2B46%29=90\"$ \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

Solved by pluggable solver: Solve an equation

This is a solution to the equation:
Your Result:

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This is an equation! Solutions: x=11.
Graphical form: Equation $\"x%2B%283x%2B46%29=90\"$ was fully solved.
Text form: x+(3x+46)=90 simplifies to 0=0
Cartoon (animation) form: $\"simplify_cartoon%28+x%2B%283x%2B46%29=90+%29\"$
For tutors: simplify_cartoon( x+(3x+46)=90 )
If you have a website, here's a link to this solution.

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DETAILED EXPLANATION

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Look at $\"x%2Bhighlight_red%28+%283%2Ax%2B46%29+%29=90\"$ .
Remove unneeded parentheses around terms $\"highlight_red%28+3%2Ax+%29\"$ , $\"highlight_red%28+46+%29\"$
It becomes $\"x%2Bhighlight_green%28+3%2Ax+%29%2Bhighlight_green%28+46+%29=90\"$ .
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Look at $\"highlight_red%28+x+%29%2Bhighlight_red%28+3%2Ax+%29%2B46=90\"$ .
Eliminated similar terms $\"highlight_red%28+x+%29\"$ , $\"highlight_red%28+3%2Ax+%29\"$ replacing them with $\"highlight_green%28+%281%2B3%29%2Ax+%29\"$
It becomes $\"highlight_green%28+%281%2B3%29%2Ax+%29%2B46=90\"$ .
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Look at $\"%28highlight_red%28+1+%29%2Bhighlight_red%28+3+%29%29%2Ax%2B46=90\"$ .
Added fractions or integers together
It becomes $\"%28highlight_green%28+4+%29%29%2Ax%2B46=90\"$ .
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Look at $\"highlight_red%28+%28highlight_red%28+4+%29%29%2Ax+%29%2B46=90\"$ .
Remove unneeded parentheses around factor $\"highlight_red%28+4+%29\"$
It becomes $\"highlight_green%28+4+%29%2Ax%2B46=90\"$ .
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Look at $\"4%2Ax%2B46=highlight_red%28+90+%29\"$ .
Moved these terms to the left $\"highlight_green%28+-90+%29\"$
It becomes $\"4%2Ax%2B46-highlight_green%28+90+%29=0\"$ .
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Look at $\"4%2Ax%2Bhighlight_red%28+46+%29-highlight_red%28+90+%29=0\"$ .
Added fractions or integers together
It becomes $\"4%2Ax%2Bhighlight_green%28+-44+%29=0\"$ .
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Look at $\"4%2Ax%2Bhighlight_red%28+-44+%29=0\"$ .
Removed extra sign in front of $\"-44\"$
It becomes $\"4%2Ax-highlight_green%28+44+%29=0\"$ .
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Look at $\"highlight_red%28+4%2Ax-44+%29=0\"$ .
Solved linear equation $\"highlight_red%28+4%2Ax-44=0+%29\"$ equivalent to 4*x-44 =0
It becomes $\"highlight_green%28+0+%29=0\"$ .
Result: $\"0=0\"$
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Universal Simplifier and Solver

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Done!
0=0;x=11

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4x-44=0 turns into 4x=44. Dividing both sides by 4 gives x=11. 3x+46=11*3+46=79 degrees. So the angles are $\"11%5Eo\"$ and $\"79%5Eo\"$ . \n" ); document.write( "

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