document.write( "Question 462056: ∠DEF and ∠ABC are supplementary angles and ∠DEF is four times as large as ∠ABC. Determine the measure of each angle, show all your work \n" ); document.write( "

Algebra.Com's Answer #316876 by algebrahouse.com(1659) $\"\"$ $\"About$

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∠DEF and ∠ABC are supplementary, meaning they add up to 180°\r
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\n" ); document.write( "\n" ); document.write( "x = ∠ABC
\n" ); document.write( "4x = ∠DEF {∠DEF is four times as large as ∠ABC}\r
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\n" ); document.write( "\n" ); document.write( "x + 4x = 180 {supplementary angles add up to 180°}
\n" ); document.write( "5x = 180 {combined like terms}
\n" ); document.write( "x = 36 {divided both sides by 5}
\n" ); document.write( "4x = 144 {substituted 36, in for x, into 4x}\r
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\n" ); document.write( "\n" ); document.write( "∠ABC = 36° and ∠DEF = 144°
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