document.write( "Question 178436: In Triangle abc , angle a is 5 times angle b, and angle c is 16 degrees less than angle b. What are the measures of the three angles? \n" ); document.write( "

Algebra.Com's Answer #133426 by Mathtut(3670) $\"\"$ $\"About$

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In Triangle abc , angle a is 5 times angle b, and angle c is 16 degrees less than angle b. What are the measures of the three angles?
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\n" ); document.write( "a=5b........eq 1
\n" ); document.write( "c=b-16......eq 2
\n" ); document.write( "a+b+c=180...eq 3
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\n" ); document.write( "take values a which is 5b from eq 1 and c which is b-16 from eq 2 and plug them into eq 3
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\n" ); document.write( "5b+b+b-16=180
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\n" ); document.write( "7b=196
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\n" ); document.write( " $\"highlight%28b=28%29\"$ degrees
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\n" ); document.write( " $\"highlight%28a=5%2828%29=140%29\"$ degrees
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\n" ); document.write( " $\"highlight%28c=28-16=12%29\"$ degrees \n" ); document.write( "

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