document.write( "Question 828105: The measure of two complementary angles have a ratio of 2 : 7. What is the measure of the smallest angle? \n" ); document.write( "

Algebra.Com's Answer #499045 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Complementary means add up to 90 degrees.
\n" ); document.write( "1. $\"A%2BB=90\"$
\n" ); document.write( "You also know that,
\n" ); document.write( " $\"A%2FB=2%2F7\"$
\n" ); document.write( "2. $\"7A=2B\"$
\n" ); document.write( "From 2,
\n" ); document.write( " $\"B=%282%2F7%29A\"$
\n" ); document.write( "Plug this into 1,
\n" ); document.write( " $\"A%2BB=90\"$
\n" ); document.write( " $\"A%2B%282%2F7%29A=90\"$
\n" ); document.write( " $\"%287%2F7%29A%2B%282%2F7%29A=90\"$
\n" ); document.write( " $\"%28%287%2B2%29%2F7%29A=90\"$
\n" ); document.write( " $\"%289%2F7%29A=90\"$
\n" ); document.write( " $\"A=%287%2F9%2990\"$
\n" ); document.write( " $\"A=70\"$
\n" ); document.write( "Then from 1,
\n" ); document.write( " $\"A%2BB=90\"$
\n" ); document.write( " $\"70%2BB=90\"$
\n" ); document.write( " $\"B=20\"$ \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );