document.write( "Question 1018594: angle a and angle b are supplementary angles. find the measures of each angle if angle is 30 degrees greater than angle b.
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #634680 by ikleyn(52781) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "angle A and angle B are supplementary angles. Find the measures of each angle if angle $\"highlight%28A%29\"$ is 30 degrees greater than angle B.
\n" ); document.write( "-------------------------------------------------------------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "A = B + 30°,\r\n" );
document.write( "A + B = 180°.\r\n" );
document.write( "\r\n" );
document.write( "Substitute A from (1) into (2). You will get\r\n" );
document.write( "\r\n" );
document.write( "B + 30 + B = 180  --->  2B + 30 = 180  ---> 2B = 180 - 30 = 150  --->  B =  = 75°.\r\n" );
document.write( "\r\n" );
document.write( "Answer. B = 75°, A = B + 30° = 75° + 30° = 105°.\r\n" );
document.write( "

\n" ); document.write( " \n" ); document.write( "

\n" );