document.write( "Question 269562: Two angles are complementary and the ratio of their measures is 7:2. What are the angle measures? \n" ); document.write( "

Algebra.Com's Answer #197599 by ninadbhat(3) $\"\"$ $\"About$

You can put this solution on YOUR website!
Two angles are said to be complimentary if they add up to 90. If x is the first angle and y is its complement then x+y=90.
\n" ); document.write( "Also, if their ratio is 7:2, then x/y=7/2.
\n" ); document.write( "x/y=7/2
\n" ); document.write( "2x=7y
\n" ); document.write( "x=(7/2)y
\n" ); document.write( "Now substitute this in the first equation.
\n" ); document.write( "(7/2)y+y=90
\n" ); document.write( "(7/2)y+(2/2)y=90
\n" ); document.write( "(9/2)y=90
\n" ); document.write( "9y=180
\n" ); document.write( "y=20
\n" ); document.write( "so x=90-y, or 90-20.
\n" ); document.write( "x=70
\n" ); document.write( "So angles are 70 degrees and 20 degrees. \n" ); document.write( "

\n" );