document.write( "Question 549460: The supplementary angle is 30 more than 4 times of a complementary angle. What is the complementary angle measure? \n" ); document.write( "

Algebra.Com's Answer #357765 by TutorDelphia(193) $\"\"$ $\"About$

You can put this solution on YOUR website!
Supplementary is when two angles add up to be 180 degrees (and form a straight line)
\n" ); document.write( "Complementary is when they add up to 90 degrees\r
\n" ); document.write( "\n" ); document.write( "So if our angle is y
\n" ); document.write( "we know that 180-y=30+4*(90-y)
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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: y=70.
Graphical form: Equation $\"180-y=30%2B4%2A%2890-y%29\"$ was fully solved.
Text form: 180-y=30+4*(90-y) simplifies to 0=0
Cartoon (animation) form: $\"simplify_cartoon%28+180-y=30%2B4%2A%2890-y%29+%29\"$
For tutors: simplify_cartoon( 180-y=30+4*(90-y) )
If you have a website, here's a link to this solution.

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DETAILED EXPLANATION

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Look at $\"highlight_red%28+180+%29-y=30%2B4%2A%2890-y%29\"$ .
Moved $\"180\"$ to the right of expression
It becomes $\"-y%2Bhighlight_green%28+180+%29=30%2B4%2A%2890-y%29\"$ .
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Look at $\"-y%2B180=30%2B4%2A%28highlight_red%28+90+%29-y%29\"$ .
Moved $\"90\"$ to the right of expression
It becomes $\"-y%2B180=30%2B4%2A%28-y%2Bhighlight_green%28+90+%29%29\"$ .
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Look at $\"-y%2B180=highlight_red%28+30+%29%2B4%2A%28-y%2B90%29\"$ .
Moved $\"30\"$ to the right of expression
It becomes $\"-y%2B180=4%2A%28-y%2B90%29%2Bhighlight_green%28+30+%29\"$ .
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Look at $\"-y%2B180=highlight_red%28+4%2A%28-y%2B90%29%2B30+%29\"$ .
Moved these terms to the left $\"highlight_green%28+-4%2A%28-y%2B90%29+%29\"$ , $\"highlight_green%28+-30+%29\"$
It becomes $\"-y%2B180-highlight_green%28+4%2A%28-y%2B90%29+%29-highlight_green%28+30+%29=0\"$ .
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Look at $\"-y%2Bhighlight_red%28+180+%29-4%2A%28-y%2B90%29-highlight_red%28+30+%29=0\"$ .
Added fractions or integers together
It becomes $\"-y%2Bhighlight_green%28+150+%29-4%2A%28-y%2B90%29=0\"$ .
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Look at $\"-y%2Bhighlight_red%28+150+%29-4%2A%28-y%2B90%29=0\"$ .
Moved $\"150\"$ to the right of expression
It becomes $\"-y-4%2A%28-y%2B90%29%2Bhighlight_green%28+150+%29=0\"$ .
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Look at $\"-y-highlight_red%28+4%2A%28-y%2B90%29+%29%2B150=0\"$ .
Expanded term $\"-4\"$ by using associative property on $\"%28-y%2B90%29\"$
It becomes $\"-y%2Bhighlight_green%28+4%2Ay+%29-highlight_green%28+4%2A90+%29%2B150=0\"$ .
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Look at $\"-y%2B4%2Ay-highlight_red%28+4+%29%2Ahighlight_red%28+90+%29%2B150=0\"$ .
Multiplied numerator integers
It becomes $\"-y%2B4%2Ay-highlight_green%28+360+%29%2B150=0\"$ .
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Look at $\"-y%2B4%2Ay-highlight_red%28+360+%29%2Bhighlight_red%28+150+%29=0\"$ .
Added fractions or integers together
It becomes $\"-y%2B4%2Ay%2Bhighlight_green%28+-210+%29=0\"$ .
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Look at $\"-y%2B4%2Ay%2Bhighlight_red%28+-210+%29=0\"$ .
Removed extra sign in front of $\"-210\"$
It becomes $\"-y%2B4%2Ay-highlight_green%28+210+%29=0\"$ .
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Look at $\"-highlight_red%28+y+%29%2Bhighlight_red%28+4%2Ay+%29-210=0\"$ .
Eliminated similar terms $\"highlight_red%28+-y+%29\"$ , $\"highlight_red%28+4%2Ay+%29\"$ replacing them with $\"highlight_green%28+%28-1%2B4%29%2Ay+%29\"$
It becomes $\"highlight_green%28+%28-1%2B4%29%2Ay+%29-210=0\"$ .
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Look at $\"%28-highlight_red%28+1+%29%2Bhighlight_red%28+4+%29%29%2Ay-210=0\"$ .
Added fractions or integers together
It becomes $\"%28highlight_green%28+3+%29%29%2Ay-210=0\"$ .
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Look at $\"highlight_red%28+%28highlight_red%28+3+%29%29%2Ay+%29-210=0\"$ .
Remove unneeded parentheses around factor $\"highlight_red%28+3+%29\"$
It becomes $\"highlight_green%28+3+%29%2Ay-210=0\"$ .
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Look at $\"highlight_red%28+3%2Ay-210+%29=0\"$ .
Solved linear equation $\"highlight_red%28+3%2Ay-210=0+%29\"$ equivalent to 3*y-210 =0
It becomes $\"highlight_green%28+0+%29=0\"$ .
Result: $\"0=0\"$
\n" ); document.write( "This is an equation! Solutions: y=70.

Universal Simplifier and Solver

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Done!

\n" ); document.write( "\n" ); document.write( "So we find y=70
\n" ); document.write( "but we are asked for the complementary angle so that would be 90-y or 20 degrees \n" ); document.write( "

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