document.write( "Question 541936: one angle is 8 times its supplement, increased by 10. Find the measure of the smaller of the two angles \n" ); document.write( "
Algebra.Com's Answer #354372 by neatmath(302)\"\" \"About 
You can put this solution on YOUR website!

Another geometry translation problem!
\r
\n" ); document.write( "\n" ); document.write( "Let x be the small angle. Then it's supplement is \"180-x\"
\r
\n" ); document.write( "\n" ); document.write( "\"x=8%2A%28180-x%29%2B10\"
\r
\n" ); document.write( "\n" ); document.write( "\"x=1440-8x%2B10\"
\r
\n" ); document.write( "\n" ); document.write( "\"9x=1440%2B10\"
\r
\n" ); document.write( "\n" ); document.write( "\"9x=1450\"
\r
\n" ); document.write( "\n" ); document.write( "\"x=1450%2F9\"
\r
\n" ); document.write( "\n" ); document.write( "1450/9 would be the larger angle. This is approximately 161.1....
\r
\n" ); document.write( "\n" ); document.write( "The smaller angle would be its supplement.
\r
\n" ); document.write( "\n" ); document.write( "\"180-1450%2F9\"
\r
\n" ); document.write( "\n" ); document.write( "\"170%2F9\" would be the exact answer. This is approximately 18.8....
\r
\n" ); document.write( "\n" ); document.write( "So our answer makes sense because the sum of the two angles would be 180 degrees.
\r
\n" ); document.write( "\n" ); document.write( "I hope this helps!
\n" ); document.write( "
\n" );