document.write( "Question 172305: In a triangle the measure of the first angle is one-half the measure of the second angle. The third angle's measure is 20 degrees less than the measure of the second angle. What are the measures of the angles? \n" ); document.write( "

Algebra.Com's Answer #127274 by Mathtut(3670) $\"\"$ $\"About$

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lets call our angles a ,b, and c
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\n" ); document.write( "a+b+c=180....eq 1
\n" ); document.write( "a=1/2b.......eq 2
\n" ); document.write( "c=b-20.......eq 3
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\n" ); document.write( "take a's value from eq 2 and c's value from eq 3 and plug them into eq 1
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\n" ); document.write( "1/2b+b+b-20=180
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\n" ); document.write( "5/2b=200... combine like terms
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\n" ); document.write( "5b=400...cross multiply
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\n" ); document.write( " $\"+highlight%28b=80%29\"$ degrees
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\n" ); document.write( " $\"highlight%28a=1%2F2%2880%29=40%29\"$ degrees
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\n" ); document.write( " $\"highlight%28c=80-20=60%29\"$ degrees
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