document.write( "Question 147103: Thanks for the help on the other problem. Please help me on this word problem too.
\n" ); document.write( "(((The first angle of a triangle measures 20 degrees larger than the second angle of a triangle. The third angle measures twice as large as the second angle. Find the measures of these three angles.))) \n" ); document.write( "

Algebra.Com's Answer #107439 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
The key to this one is that the
\n" ); document.write( "3 angles of a triangle add up to $\"180\"$ degrees
\n" ); document.write( "Call the angles $\"a\"$ , $\"b\"$ , and $\"c\"$
\n" ); document.write( " $\"a+=+b+%2B+20\"$
\n" ); document.write( " $\"c+=+2b\"$
\n" ); document.write( " $\"a+%2B+b+%2B+c+=+180\"$
\n" ); document.write( "Now substitute for $\"a\"$ and $\"c\"$ in the last equation
\n" ); document.write( " $\"b+%2B+20+%2B+b+%2B+2b+=+180\"$
\n" ); document.write( " $\"4b+=+180+-+20\"$
\n" ); document.write( " $\"4b+=+160\"$
\n" ); document.write( " $\"b+=+40\"$
\n" ); document.write( " $\"a+=+b+%2B+20\"$
\n" ); document.write( " $\"a+=+40+%2B+20\"$
\n" ); document.write( " $\"a+=+60\"$
\n" ); document.write( " $\"c+=+2b\"$
\n" ); document.write( " $\"c+=+80\"$
\n" ); document.write( "The angles are $\"60\"$ , $\"40\"$ , and $\"80\"$ degrees
\n" ); document.write( "If you plug these numbers back into the original
\n" ); document.write( "equations, do they check OK? Try it. \n" ); document.write( "

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