document.write( "Question 562402: Find the measures of two supplementary angles if one angle is 18 degrees more than twice the other. \n" ); document.write( "

Algebra.Com's Answer #364563 by nerdybill(7384) $\"\"$ $\"About$

You can put this solution on YOUR website!
Find the measures of two supplementary angles if one angle is 18 degrees more than twice the other.
\n" ); document.write( ".
\n" ); document.write( "Let x = measure of one of the angles
\n" ); document.write( "then from \"18 degrees more than twice the other\" we have
\n" ); document.write( "2x+18 = measure of second angle
\n" ); document.write( ".
\n" ); document.write( "Then, because they are \"supplementary\":
\n" ); document.write( "x + 2x+18 = 180
\n" ); document.write( "3x+18 = 180
\n" ); document.write( "3x = 162
\n" ); document.write( "x = 54 degrees
\n" ); document.write( ".
\n" ); document.write( "Second angle:
\n" ); document.write( "2x+18 = 2(54)+18 = 108+18 = 126 degrees
\n" ); document.write( ".
\n" ); document.write( "answer: 54 and 126 degrees \n" ); document.write( "

\n" );