document.write( "Question 355689: An angle and its complement always have a sum of 90. The sum of the measures of an angle and 5x its complement is 298. What is the measure of an angle \n" ); document.write( "

Algebra.Com's Answer #253965 by vleith(2983) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let x be the angle. Then its complment is $\"90-x\"$
\n" ); document.write( "You are told
\n" ); document.write( " $\"x+%2B+5%2890-x%29+=+298\"$
\n" ); document.write( " $\"x+%2B+450+-+5x+=+298\"$
\n" ); document.write( " $\"-4x+=+298+-+450\"$
\n" ); document.write( " $\"-4x+=+-152\"$
\n" ); document.write( " $\"x+=+38\"$ \n" ); document.write( "

\n" );