document.write( "Question 579144: what are the measures of the two complementary angles if one angle measures 30 degrees less than the other? \n" ); document.write( "
Algebra.Com's Answer #370879 by dfrazzetto(283)\"\" \"About 
You can put this solution on YOUR website!
Complementary angles sum to 90 degrees:\r
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\n" ); document.write( "\n" ); document.write( "a = b-30\r
\n" ); document.write( "\n" ); document.write( "a+b=90\r
\n" ); document.write( "\n" ); document.write( "b-30+b = 90\r
\n" ); document.write( "\n" ); document.write( "2b = 120\r
\n" ); document.write( "\n" ); document.write( "b=60 degrees\r
\n" ); document.write( "\n" ); document.write( "a=30 degrees\r
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Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:

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  • This is an equation! Solutions: b=60.
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  • Graphical form: Equation \"b-30%2Bb=90\" was fully solved.
  • Text form: b-30+b=90 simplifies to 0=0
  • Cartoon (animation) form: \"simplify_cartoon%28+b-30%2Bb=90+%29\"
    For tutors: simplify_cartoon( b-30+b=90 )
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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 \"b-highlight_red%28+30+%29%2Bb=90\".
Moved \"-30\" to the right of expression
It becomes \"b%2Bb-highlight_green%28+30+%29=90\".
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Look at \"highlight_red%28+b+%29%2Bhighlight_red%28+b+%29-30=90\".
Eliminated similar terms \"highlight_red%28+b+%29\",\"highlight_red%28+b+%29\" replacing them with \"highlight_green%28+%281%2B1%29%2Ab+%29\"
It becomes \"highlight_green%28+%281%2B1%29%2Ab+%29-30=90\".
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Look at \"%28highlight_red%28+1+%29%2Bhighlight_red%28+1+%29%29%2Ab-30=90\".
Added fractions or integers together
It becomes \"%28highlight_green%28+2+%29%29%2Ab-30=90\".
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Look at \"highlight_red%28+%28highlight_red%28+2+%29%29%2Ab+%29-30=90\".
Remove unneeded parentheses around factor \"highlight_red%28+2+%29\"
It becomes \"highlight_green%28+2+%29%2Ab-30=90\".
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Look at \"2%2Ab-30=highlight_red%28+90+%29\".
Moved these terms to the left \"highlight_green%28+-90+%29\"
It becomes \"2%2Ab-30-highlight_green%28+90+%29=0\".
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Look at \"2%2Ab-highlight_red%28+30+%29-highlight_red%28+90+%29=0\".
Added fractions or integers together
It becomes \"2%2Ab%2Bhighlight_green%28+-120+%29=0\".
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Look at \"2%2Ab%2Bhighlight_red%28+-120+%29=0\".
Removed extra sign in front of \"-120\"
It becomes \"2%2Ab-highlight_green%28+120+%29=0\".
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Look at \"highlight_red%28+2%2Ab-120+%29=0\".
Solved linear equation \"highlight_red%28+2%2Ab-120=0+%29\" equivalent to 2*b-120 =0
It becomes \"highlight_green%28+0+%29=0\".
Result: \"0=0\"
\n" ); document.write( "This is an equation! Solutions: b=60.

Universal Simplifier and Solver

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Done!
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