document.write( "Question 467864: The first angle of a triangle is 10º less than the second angle. The third angle is three times the
\n" ); document.write( "second angle. What is the measure of the second angle? \n" ); document.write( "
Algebra.Com's Answer #321043 by gwendolyn(128)\"\" \"About 
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let f=the first angle
\n" ); document.write( "let s=the second angle
\n" ); document.write( "let t=the third angle
\n" ); document.write( "Remember that the angles in a triangle always add up to 180 degrees, so:
\n" ); document.write( "f+s+t=180
\n" ); document.write( "The first angle is equal to the second angle minus 10 degrees, so:
\n" ); document.write( "f=s-10
\n" ); document.write( "The third angle is equal to three times as much as the second angle, so:
\n" ); document.write( "t=3s
\n" ); document.write( "We can plug these equations into the first equation to get:
\n" ); document.write( "s-10+s+3s=180
\n" ); document.write( "Then, we can add 10 to both sides of the equation:
\n" ); document.write( "s+s+3s=190
\n" ); document.write( "Next, we combine like terms:
\n" ); document.write( "5s=190
\n" ); document.write( "Finally, we divide by 5:
\n" ); document.write( "s=38
\n" ); document.write( "We can plug this in to find other values.
\n" ); document.write( "t=3*38
\n" ); document.write( "t=114
\n" ); document.write( "f=38-10
\n" ); document.write( "f=28
\n" ); document.write( "So, the angles are 28, 38, and 144 degrees. \n" ); document.write( "
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