document.write( "Question 158775: The measure of an is one third the measure of its compliment. Find the measure of the angle \n" ); document.write( "

Algebra.Com's Answer #117019 by jojo14344(1513) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"A\"$ is a compliment of $\"B\"$ .
\n" ); document.write( "therefore $\"A%2BB=90\"$ ----> working eqn, but $\"A=%281%2F3%29B\"$ , substitute in working eqn:
\n" ); document.write( " $\"%281%2F3%29B%2BB=90\"$
\n" ); document.write( " $\"%28B%2B3B%29%2F3=90\"$
\n" ); document.write( " $\"4B=3%2A90=270\"$
\n" ); document.write( " $\"cross%284%29B%2Fcross%284%29=cross%28270%2967.50%2Fcross%284%29\"$
\n" ); document.write( " $\"B=67.50deg\"$
\n" ); document.write( " $\"A%2B67.50=90\"$
\n" ); document.write( " $\"A=90-67.5=22.5deg\"$
\n" ); document.write( ": $\"22.5%2B67.50=90\"$
\n" ); document.write( " $\"90=90\"$ , complement
\n" ); document.write( "Thank you,
\n" ); document.write( "Jojo \n" ); document.write( "

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