document.write( "Question 394516: The second angle of a triangle measures 10 degrees more than the first angle. The third angle measures 30 degrees less than twice the second angle. what are the measures of the three angles? \n" ); document.write( "

Algebra.Com's Answer #279916 by pie90010(44) $\"\"$ $\"About$

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let angle 1 be $\"x\"$
\n" ); document.write( "let angle 2 be $\"x+%2B+10\"$
\n" ); document.write( "let angle 3 be $\"%28x%2B10%29+-+30\"$
\n" ); document.write( "when you add up all angles in a triangle, they equal 180
\n" ); document.write( "so your equation would be
\n" ); document.write( " $\"x+%2B+x+%2B+10+%2B+2%2810+%2B+x%29+-+30\"$
\n" ); document.write( "combine like terms and you get
\n" ); document.write( " $\"4x+=+180\"$
\n" ); document.write( " $\"x+=+45\"$
\n" ); document.write( "so angle 2 would be $\"10+%2B+45+=+55\"$
\n" ); document.write( "and the last angle would be $\"180+-+55+-+45+=+80\"$
\n" ); document.write( "the solution is
\n" ); document.write( "angle 1 = 45
\n" ); document.write( "angle 2 = 55
\n" ); document.write( "angle 3 = 80
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