document.write( "Question 214086: What is the measure of an angle if twice the measure of its supplement is 30 more than 5 times the measure of it's comlement ? \n" ); document.write( "
Algebra.Com's Answer #162078 by drj(1380)\"\" \"About 
You can put this solution on YOUR website!
What is the measure of an angle if twice the measure of its supplement is 30 more than 5 times the measure of its complement ?\r
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\n" ); document.write( "\n" ); document.write( "Step 1. Supplementary angles is when two angles add up to 180 degrees and complementary angles is when two angles add up to 90 degrees.\r
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\n" ); document.write( "\n" ); document.write( "Step 2. Let x be the angle, let 90-x be its complement and 180-x be its supplement.\r
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\n" ); document.write( "\n" ); document.write( "Step 3. 2(180-x) twice the measure of its supplement.\r
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\n" ); document.write( "\n" ); document.write( "Step 4. 5(90-x) five times the measure of its complement\r
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\n" ); document.write( "\n" ); document.write( "Step 5. 2(180-x)=5(90-x)+30 Measure of an angle if twice the measure of its supplement is 30 more than 5 times the measure of its complement \r
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\n" ); document.write( "\n" ); document.write( "Step 6. The following will solve the equation in Step 5.\r
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Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:

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\n" ); document.write( " YOUR ANSWER\n" ); document.write( "


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  • This is an equation! Solutions: x=40.
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  • Graphical form: Equation \"2%2A%28180-x%29=5%2A%2890-x%29%2B30\" was fully solved.
  • Text form: 2*(180-x)=5*(90-x)+30 simplifies to 0=0
  • Cartoon (animation) form: \"simplify_cartoon%28+2%2A%28180-x%29=5%2A%2890-x%29%2B30+%29\"
    For tutors: simplify_cartoon( 2*(180-x)=5*(90-x)+30 )
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  • If you have a website, here's a link to this solution.
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DETAILED EXPLANATION

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Look at \"2%2A%28highlight_red%28+180+%29-x%29=5%2A%2890-x%29%2B30\".
Moved \"180\" to the right of expression
It becomes \"2%2A%28-x%2Bhighlight_green%28+180+%29%29=5%2A%2890-x%29%2B30\".
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Look at \"2%2A%28-x%2B180%29=5%2A%28highlight_red%28+90+%29-x%29%2B30\".
Moved \"90\" to the right of expression
It becomes \"2%2A%28-x%2B180%29=5%2A%28-x%2Bhighlight_green%28+90+%29%29%2B30\".
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Look at \"2%2A%28-x%2B180%29=highlight_red%28+5%2A%28-x%2B90%29%2B30+%29\".
Moved these terms to the left \"highlight_green%28+-5%2A%28-x%2B90%29+%29\",\"highlight_green%28+-30+%29\"
It becomes \"2%2A%28-x%2B180%29-highlight_green%28+5%2A%28-x%2B90%29+%29-highlight_green%28+30+%29=0\".
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Look at \"highlight_red%28+2%2A%28-x%2B180%29+%29-5%2A%28-x%2B90%29-30=0\".
Expanded term \"2\" by using associative property on \"%28-x%2B180%29\"
It becomes \"-highlight_green%28+2%2Ax+%29%2Bhighlight_green%28+2%2A180+%29-5%2A%28-x%2B90%29-30=0\".
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Look at \"-2%2Ax%2Bhighlight_red%28+2+%29%2Ahighlight_red%28+180+%29-5%2A%28-x%2B90%29-30=0\".
Multiplied numerator integers
It becomes \"-2%2Ax%2Bhighlight_green%28+360+%29-5%2A%28-x%2B90%29-30=0\".
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Look at \"-2%2Ax%2Bhighlight_red%28+360+%29-5%2A%28-x%2B90%29-highlight_red%28+30+%29=0\".
Added fractions or integers together
It becomes \"-2%2Ax%2Bhighlight_green%28+330+%29-5%2A%28-x%2B90%29=0\".
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Look at \"-2%2Ax%2Bhighlight_red%28+330+%29-5%2A%28-x%2B90%29=0\".
Moved \"330\" to the right of expression
It becomes \"-2%2Ax-5%2A%28-x%2B90%29%2Bhighlight_green%28+330+%29=0\".
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Look at \"-2%2Ax-highlight_red%28+5%2A%28-x%2B90%29+%29%2B330=0\".
Expanded term \"-5\" by using associative property on \"%28-x%2B90%29\"
It becomes \"-2%2Ax%2Bhighlight_green%28+5%2Ax+%29-highlight_green%28+5%2A90+%29%2B330=0\".
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Look at \"-2%2Ax%2B5%2Ax-highlight_red%28+5+%29%2Ahighlight_red%28+90+%29%2B330=0\".
Multiplied numerator integers
It becomes \"-2%2Ax%2B5%2Ax-highlight_green%28+450+%29%2B330=0\".
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Look at \"-2%2Ax%2B5%2Ax-highlight_red%28+450+%29%2Bhighlight_red%28+330+%29=0\".
Added fractions or integers together
It becomes \"-2%2Ax%2B5%2Ax%2Bhighlight_green%28+-120+%29=0\".
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Look at \"-2%2Ax%2B5%2Ax%2Bhighlight_red%28+-120+%29=0\".
Removed extra sign in front of \"-120\"
It becomes \"-2%2Ax%2B5%2Ax-highlight_green%28+120+%29=0\".
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Look at \"-highlight_red%28+2%2Ax+%29%2Bhighlight_red%28+5%2Ax+%29-120=0\".
Eliminated similar terms \"highlight_red%28+-2%2Ax+%29\",\"highlight_red%28+5%2Ax+%29\" replacing them with \"highlight_green%28+%28-2%2B5%29%2Ax+%29\"
It becomes \"highlight_green%28+%28-2%2B5%29%2Ax+%29-120=0\".
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Look at \"%28-highlight_red%28+2+%29%2Bhighlight_red%28+5+%29%29%2Ax-120=0\".
Added fractions or integers together
It becomes \"%28highlight_green%28+3+%29%29%2Ax-120=0\".
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Look at \"highlight_red%28+%28highlight_red%28+3+%29%29%2Ax+%29-120=0\".
Remove unneeded parentheses around factor \"highlight_red%28+3+%29\"
It becomes \"highlight_green%28+3+%29%2Ax-120=0\".
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Look at \"highlight_red%28+3%2Ax-120+%29=0\".
Solved linear equation \"highlight_red%28+3%2Ax-120=0+%29\" equivalent to 3*x-120 =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!

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\n" ); document.write( "\n" ); document.write( "Step 7. The complement of the angle x=40 is 90-x=50.\r
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\n" ); document.write( "\n" ); document.write( "Step 8. ANSWER. The complement of the angle is 50 degree\r
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\n" ); document.write( "\n" ); document.write( "I hope the above steps were helpful. \r
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\n" ); document.write( "\n" ); document.write( "For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.\r
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\n" ); document.write( "\n" ); document.write( "And good luck in your studies!\r
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\n" ); document.write( "\n" ); document.write( "Respectfully,
\n" ); document.write( "Dr J \n" ); document.write( "
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