document.write( "Question 175220: One angle of a triangle measures 6 degrees more than the second. The third angle measures 4 degrees less than 3 times of the sum of the measures of the first two angles. Find the three measure of the angles. \n" ); document.write( "

Algebra.Com's Answer #130301 by Mathtut(3670) $\"\"$ $\"About$

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let the measurements of our angles be a,b,and c
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\n" ); document.write( "a=b+6........eq 1
\n" ); document.write( "c=3(a+b)-4...eq 2
\n" ); document.write( "a+b+c=180....eq 3
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\n" ); document.write( "take a's value from eq 1 and plug it into eq 2.
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\n" ); document.write( "c=3((b+6)+b)-4--->c=6b+18-4--->c=6b+14...revised eq 2
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\n" ); document.write( "now take a's value from eq 1 and c's value from revised eq 2 and plug them into eq 3
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\n" ); document.write( "b+6+b+6b+14=180
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\n" ); document.write( "8b=160
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\n" ); document.write( " $\"highlight%28b=20%29\"$ degrees
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\n" ); document.write( " $\"highlight%28a=20%2B6=26%29\"$ degrees
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\n" ); document.write( " $\"highlight%28c=6%2820%29%2B14=134%29\"$ degrees \n" ); document.write( "

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