document.write( "Question 225160: 10. Angles A and B are supplementary angles and angle A is 2⁰ more than 4 times angle B. Find the measures of angle A and angle B. \n" ); document.write( "

Algebra.Com's Answer #168078 by drj(1380) $\"\"$ $\"About$

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Angles A and B are supplementary angles and angle A is 2⁰ more than 4 times angle B. Find the measures of angle A and angle B. \r
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\n" ); document.write( "\n" ); document.write( "Step 1. Supplementary angles means two angles add up to 180 degrees.\r
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\n" ); document.write( "\n" ); document.write( "Step 2. Let A be one angle.\r
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\n" ); document.write( "\n" ); document.write( "Step 3. Let B=180-A be its supplementary angle.\r
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\n" ); document.write( "\n" ); document.write( "Step 4. Let A=2+4(180-A) since angle A is 2 degrees more than 4 times angle B=180-A.\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: A=144.4.
Graphical form: Equation $\"A=2%2B4%2A%28180-A%29\"$ was fully solved.
Text form: A=2+4*(180-A) simplifies to 0=0
Cartoon (animation) form: $\"simplify_cartoon%28+A=2%2B4%2A%28180-A%29+%29\"$
For tutors: simplify_cartoon( A=2+4*(180-A) )
If you have a website, here's a link to this solution.

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DETAILED EXPLANATION

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Look at $\"A=2%2B4%2A%28highlight_red%28+180+%29-A%29\"$ .
Moved $\"180\"$ to the right of expression
It becomes $\"A=2%2B4%2A%28-A%2Bhighlight_green%28+180+%29%29\"$ .
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Look at $\"A=highlight_red%28+2+%29%2B4%2A%28-A%2B180%29\"$ .
Moved $\"2\"$ to the right of expression
It becomes $\"A=4%2A%28-A%2B180%29%2Bhighlight_green%28+2+%29\"$ .
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Look at $\"A=highlight_red%28+4%2A%28-A%2B180%29%2B2+%29\"$ .
Moved these terms to the left $\"highlight_green%28+-4%2A%28-A%2B180%29+%29\"$ , $\"highlight_green%28+-2+%29\"$
It becomes $\"A-highlight_green%28+4%2A%28-A%2B180%29+%29-highlight_green%28+2+%29=0\"$ .
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Look at $\"A-highlight_red%28+4%2A%28-A%2B180%29+%29-2=0\"$ .
Expanded term $\"-4\"$ by using associative property on $\"%28-A%2B180%29\"$
It becomes $\"A%2Bhighlight_green%28+4%2AA+%29-highlight_green%28+4%2A180+%29-2=0\"$ .
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Look at $\"A%2B4%2AA-highlight_red%28+4+%29%2Ahighlight_red%28+180+%29-2=0\"$ .
Multiplied numerator integers
It becomes $\"A%2B4%2AA-highlight_green%28+720+%29-2=0\"$ .
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Look at $\"A%2B4%2AA-highlight_red%28+720+%29-highlight_red%28+2+%29=0\"$ .
Added fractions or integers together
It becomes $\"A%2B4%2AA%2Bhighlight_green%28+-722+%29=0\"$ .
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Look at $\"A%2B4%2AA%2Bhighlight_red%28+-722+%29=0\"$ .
Removed extra sign in front of $\"-722\"$
It becomes $\"A%2B4%2AA-highlight_green%28+722+%29=0\"$ .
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Look at $\"highlight_red%28+A+%29%2Bhighlight_red%28+4%2AA+%29-722=0\"$ .
Eliminated similar terms $\"highlight_red%28+A+%29\"$ , $\"highlight_red%28+4%2AA+%29\"$ replacing them with $\"highlight_green%28+%281%2B4%29%2AA+%29\"$
It becomes $\"highlight_green%28+%281%2B4%29%2AA+%29-722=0\"$ .
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Look at $\"%28highlight_red%28+1+%29%2Bhighlight_red%28+4+%29%29%2AA-722=0\"$ .
Added fractions or integers together
It becomes $\"%28highlight_green%28+5+%29%29%2AA-722=0\"$ .
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Look at $\"highlight_red%28+%28highlight_red%28+5+%29%29%2AA+%29-722=0\"$ .
Remove unneeded parentheses around factor $\"highlight_red%28+5+%29\"$
It becomes $\"highlight_green%28+5+%29%2AA-722=0\"$ .
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Look at $\"highlight_red%28+5%2AA-722+%29=0\"$ .
Solved linear equation $\"highlight_red%28+5%2AA-722=0+%29\"$ equivalent to 5*A-722 =0
It becomes $\"highlight_green%28+0+%29=0\"$ .
Result: $\"0=0\"$
\n" ); document.write( "This is an equation! Solutions: A=144.4.

Universal Simplifier and Solver

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Done!

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\n" ); document.write( "\n" ); document.write( "With A=144.4 then B=180-144.4=35.6 so check if equation in Step 4 is true... 144.4=2+4(35.6)...which it is.\r
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\n" ); document.write( "\n" ); document.write( "Step 5. ANSWER: Angle A is 144.4 degrees and angle B is 35.6 degrees.\r
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\n" ); document.write( "\n" ); document.write( "I hope the above steps and explanation were helpful.\r
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\n" ); document.write( "\n" ); document.write( "For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and 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\r
\n" ); document.write( "\n" ); document.write( "http://www.FreedomUniversity.TV \n" ); document.write( "

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