document.write( "Question 159786: One angle of a triangle is four times as large as another and 45 degrees more than the third angle. Find the angle. \n" ); document.write( "

Algebra.Com's Answer #117905 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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One angle of a triangle is four times as large as another and 45 degrees more than the third angle. Find the angle.
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\n" ); document.write( "Let x = \"another angle\"
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\n" ); document.write( "\"One angle of a triangle is four times as large as another\"
\n" ); document.write( "4x = \"one angle\"
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\n" ); document.write( "\"45 degrees more than the third angle.\"
\n" ); document.write( "4x - 45 = third angle
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\n" ); document.write( "Find the angle.
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\n" ); document.write( "x + 4x + (4x - 45) = 180
\n" ); document.write( "5x = 180 + 45
\n" ); document.write( "5x = 135
\n" ); document.write( "x = $\"135%2F5\"$
\n" ); document.write( "x = 27 degrees is another angle
\n" ); document.write( "then
\n" ); document.write( "4(27) = 108 degrees; one angle
\n" ); document.write( "and
\n" ); document.write( "108 - 45 = 63 degrees; a third angle \n" ); document.write( "

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