document.write( "Question 836679: Find the measure of the angle. Two complementary angles have measures in the ratio 2:3 \n" ); document.write( "

Algebra.Com's Answer #504329 by jim_thompson5910(35256) $\"\"$ $\"About$

You can put this solution on YOUR website!
The two angles are in ratio of 2:3, so that means the two angles are 2x and 3x (where x is some unknown number for now). They must add to 90 (since they are the non-right angles in a right triangle...ie they are complementary)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "2x + 3x = 90\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "5x = 90\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "x = 90/5\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "x = 18\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "-----------------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "2x = 2*18 = 36\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "3x = 3*18 = 54\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The smallest angle is 36 degrees\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The larger angle is 54 degrees\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The largest angle is 90 degrees \n" ); document.write( "

\n" );