document.write( "Question 465590: the sum of the measures of two acute angles is 110. the supplement of the smaller angle is 15 times the complement of the larger angle. find the measures of the 2 acute angles. \n" ); document.write( "

Algebra.Com's Answer #319048 by ewatrrr(24785) $\"\"$ $\"About$

You can put this solution on YOUR website!

 
\n" );
document.write( "Hi,
\n" );
document.write( "Let x and (110°-x) represent the smaller and larger angle
\n" );
document.write( "Question states***
\n" );
document.write( " (180° - x)= 15[90°-(110-x)]
\n" );
document.write( "Solving for x
\n" );
document.write( " (180 - x)= 15[x - 20)]
\n" );
document.write( "  180-x = 15x -300
\n" );
document.write( "     480 = 16x
\n" );
document.write( "        x = 30°, the smaller angle.  80° the meansure of the Larger angle\r
\n" );
document.write( "\n" );
document.write( "CHECKING our Answer***
\n" );
document.write( "  150° = 15*10° \n" );
document.write( "

\n" );