document.write( "Question 1070926: The largest angle of a triangle is 6 times the size of the smallest, and the middle angle is 5 times the size of the smallest. What are the three angles measure? \n" ); document.write( "

Algebra.Com's Answer #685896 by Theo(13342) $\"\"$ $\"About$

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largest angle = 6 times the smallest.
\n" ); document.write( "middle angle = 5 * the smallest.\r
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\n" ); document.write( "\n" ); document.write( "sum of the angles of a triangle is 180.\r
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\n" ); document.write( "\n" ); document.write( "let x = the size of the smallest angle.\r
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\n" ); document.write( "\n" ); document.write( "the size of the middle angle is 5x.\r
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\n" ); document.write( "\n" ); document.write( "the size of the largest angle is 6x.\r
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\n" ); document.write( "\n" ); document.write( "x + 5x + 6x = 180\r
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\n" ); document.write( "\n" ); document.write( "combine like terms to get 12x = 180\r
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\n" ); document.write( "\n" ); document.write( "solve for x to get x 180/12 = 15 degrees.\r
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\n" ); document.write( "\n" ); document.write( "5x = 75 degrees.\r
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\n" ); document.write( "\n" ); document.write( "6x = 90 degrees.\r
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\n" ); document.write( "\n" ); document.write( "largest angle is 90 degrees.
\n" ); document.write( "middle angle is 75 degrees.
\n" ); document.write( "smallest angle is 15 degrees.\r
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