document.write( "Question 224997: find the measurement of two complementary angles if one angle is 6 degrees more than 3 times the other angle. \n" ); document.write( "

Algebra.Com's Answer #167992 by LtAurora(115) $\"\"$ $\"About$

You can put this solution on YOUR website!
Complementary angles add up to 90 degrees.
\n" ); document.write( " $\"A%2BB=90\"$
\n" ); document.write( "So, from the information given, we can relate angles A and B:
\n" ); document.write( " $\"A=6%2B3B\"$
\n" ); document.write( "Plug this back into the first equation:
\n" ); document.write( " $\"6%2B3B%2BB=90\"$
\n" ); document.write( "Combine like terms:
\n" ); document.write( " $\"6%2B4B=90\"$
\n" ); document.write( "Move the 6 to the other side:
\n" ); document.write( " $\"4B=84\"$
\n" ); document.write( "Divide both sides by 4:
\n" ); document.write( " $\"B=21\"$
\n" ); document.write( "So, we know one angle, plug this back into the equation we made for the relation:
\n" ); document.write( " $\"A=6%2B3%2A21\"$
\n" ); document.write( " $\"A=69\"$
\n" ); document.write( "And since $\"69%2B21=90\"$ , we know we've gotten the correct answer. \n" ); document.write( "

\n" );