document.write( "Question 426882: The second angle in a triangle is 5 times as large as the first, the third angle is 2/3 as large than the first \n" ); document.write( "
Algebra.Com's Answer #296917 by www.mathmartian.com(5)\"\" \"About 
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The angles in a triangle add up to 180 degrees.
\n" ); document.write( "Let's name the first angle x.
\n" ); document.write( "The second angle is 5 times as large as the first, or 5x.
\n" ); document.write( "The third angle is 2/3 as large as the first, or 2/3x.
\n" ); document.write( "The sum of all three angles should be 180, so let's write an equation and solve for x.
\n" ); document.write( "x+5x+2/3x=180
\n" ); document.write( "6 2/3x=180
\n" ); document.write( "20/3x=180 convert 6 2/3 to an improper fraction
\n" ); document.write( "*3/20 *3/20
\n" ); document.write( "x=27
\n" ); document.write( "So the first angle is 27 degrees
\n" ); document.write( "5x=5*27=135
\n" ); document.write( "The second angle is 135 degrees
\n" ); document.write( "2/3x=2/3*27=18
\n" ); document.write( "The third angle is 18 degrees
\n" ); document.write( "Let's check our answer. All three angles should add up to 180 degrees.
\n" ); document.write( "27+135+18=180
\n" ); document.write( "Yes, our answer checks out:) \n" ); document.write( "
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