document.write( "Question 224936: can you please help me figure out the supplement of a given angle is four times as large as a complement of the angle. Find the measure of the given angle. Please.
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #167973 by drj(1380) $\"\"$ $\"About$

You can put this solution on YOUR website!
Can you please help me figure out the supplement of a given angle is four times as large as a complement of the angle. Find the measure of the given angle. Please.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Step 1. Supplementary angles means two angles add up to 180 degrees.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Step 2. Complementary angles means two angles add up to 90 degrees.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Step 3. Let x be the angle.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Step 4. Let 180-x be its supplementary angle.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Step 5. Let 90-x be its complementary angle.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Step 6. Then 180-x=4(90-x) since the supplement of a given angle is four times as large as a complement of the angle\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

Solved by pluggable solver: EXPLAIN simplification of an expression

Your Result:

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

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

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

This is an equation! Solutions: x=60.
Graphical form: Equation $\"180-x=4%2A%2890-x%29\"$ was fully solved.
Text form: 180-x=4*(90-x) simplifies to 0=0
Cartoon (animation) form: $\"simplify_cartoon%28+180-x=4%2A%2890-x%29+%29\"$
For tutors: simplify_cartoon( 180-x=4*(90-x) )
If you have a website, here's a link to this solution.

\n" ); document.write( "

DETAILED EXPLANATION

\n" ); document.write( "

Look at $\"highlight_red%28+180+%29-x=4%2A%2890-x%29\"$ .
Moved $\"180\"$ to the right of expression
It becomes $\"-x%2Bhighlight_green%28+180+%29=4%2A%2890-x%29\"$ .
\n" ); document.write( "

Look at $\"-x%2B180=4%2A%28highlight_red%28+90+%29-x%29\"$ .
Moved $\"90\"$ to the right of expression
It becomes $\"-x%2B180=4%2A%28-x%2Bhighlight_green%28+90+%29%29\"$ .
\n" ); document.write( "

Look at $\"-x%2B180=highlight_red%28+4%2A%28-x%2B90%29+%29\"$ .
Moved these terms to the left $\"highlight_green%28+-4%2A%28-x%2B90%29+%29\"$
It becomes $\"-x%2B180-highlight_green%28+4%2A%28-x%2B90%29+%29=0\"$ .
\n" ); document.write( "

Look at $\"-x%2Bhighlight_red%28+180+%29-4%2A%28-x%2B90%29=0\"$ .
Moved $\"180\"$ to the right of expression
It becomes $\"-x-4%2A%28-x%2B90%29%2Bhighlight_green%28+180+%29=0\"$ .
\n" ); document.write( "

Look at $\"-x-highlight_red%28+4%2A%28-x%2B90%29+%29%2B180=0\"$ .
Expanded term $\"-4\"$ by using associative property on $\"%28-x%2B90%29\"$
It becomes $\"-x%2Bhighlight_green%28+4%2Ax+%29-highlight_green%28+4%2A90+%29%2B180=0\"$ .
\n" ); document.write( "

Look at $\"-x%2B4%2Ax-highlight_red%28+4+%29%2Ahighlight_red%28+90+%29%2B180=0\"$ .
Multiplied numerator integers
It becomes $\"-x%2B4%2Ax-highlight_green%28+360+%29%2B180=0\"$ .
\n" ); document.write( "

Look at $\"-x%2B4%2Ax-highlight_red%28+360+%29%2Bhighlight_red%28+180+%29=0\"$ .
Added fractions or integers together
It becomes $\"-x%2B4%2Ax%2Bhighlight_green%28+-180+%29=0\"$ .
\n" ); document.write( "

Look at $\"-x%2B4%2Ax%2Bhighlight_red%28+-180+%29=0\"$ .
Removed extra sign in front of $\"-180\"$
It becomes $\"-x%2B4%2Ax-highlight_green%28+180+%29=0\"$ .
\n" ); document.write( "

Look at $\"-highlight_red%28+x+%29%2Bhighlight_red%28+4%2Ax+%29-180=0\"$ .
Eliminated similar terms $\"highlight_red%28+-x+%29\"$ , $\"highlight_red%28+4%2Ax+%29\"$ replacing them with $\"highlight_green%28+%28-1%2B4%29%2Ax+%29\"$
It becomes $\"highlight_green%28+%28-1%2B4%29%2Ax+%29-180=0\"$ .
\n" ); document.write( "

Look at $\"%28-highlight_red%28+1+%29%2Bhighlight_red%28+4+%29%29%2Ax-180=0\"$ .
Added fractions or integers together
It becomes $\"%28highlight_green%28+3+%29%29%2Ax-180=0\"$ .
\n" ); document.write( "

Look at $\"highlight_red%28+%28highlight_red%28+3+%29%29%2Ax+%29-180=0\"$ .
Remove unneeded parentheses around factor $\"highlight_red%28+3+%29\"$
It becomes $\"highlight_green%28+3+%29%2Ax-180=0\"$ .
\n" ); document.write( "

Look at $\"highlight_red%28+3%2Ax-180+%29=0\"$ .
Solved linear equation $\"highlight_red%28+3%2Ax-180=0+%29\"$ equivalent to 3*x-180 =0
It becomes $\"highlight_green%28+0+%29=0\"$ .
Result: $\"0=0\"$
\n" ); document.write( "This is an equation! Solutions: x=60.

Universal Simplifier and Solver

\n" ); document.write( "
Done!

\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "With x=60, then 180-x-120 and 90-60=30 and note that four times the complement of the angle is the supplement of the angle.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Step 7. ANSWER: The angle is 60 degrees. It complement is 30 degrees and its supplement is 120 degrees.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "I hope the above steps were helpful. \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "For free Step-By-Step Videos on Intrduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "And good luck in your studies!\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Respectfully,
\n" ); document.write( "Dr J\r
\n" ); document.write( "\n" ); document.write( "drjctu@gmail.com\r
\n" ); document.write( "\n" ); document.write( "http://www.FreedomUniversity.TV
\n" ); document.write( "http://www.Facebook.com/FreedomUniversity.TV
\n" ); document.write( "http://www.Twitter.com/FreedomUTV \n" ); document.write( "

\n" );