document.write( "Question 1208246: Angles A and B complimentary angles. Find angles A and B.
\n" ); document.write( "Angle A = 4x+31
\n" ); document.write( "Angle B =-2x+44 \n" ); document.write( "

Algebra.Com's Answer #846538 by ikleyn(52781) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "Angles A and B $\"highlight%28cross%28complimentary%29%29\"$ are complementary angles. Find angles A and B.
\n" ); document.write( "Angle A = 4x+31
\n" ); document.write( "Angle B =-2x+44
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "Complementary angles sum up to 90 degrees\r\n" );
document.write( "\r\n" );
document.write( "    (4x+31) + (-2x+44) = 90  degrees\r\n" );
document.write( "\r\n" );
document.write( "     4x + 31 - 2x + 44 = 90\r\n" );
document.write( "\r\n" );
document.write( "     4x - 2x + 75 = 90\r\n" );
document.write( "\r\n" );
document.write( "     2x = 90 - 75\r\n" );
document.write( "\r\n" );
document.write( "     2x = 15\r\n" );
document.write( "\r\n" );
document.write( "      x = 15/2 = 7.5  degrees.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Angle A is  4x+31 = 4*7.5+31    = 30+31    = 61 degrees.\r\n" );
document.write( "\r\n" );
document.write( "Angle B is -2x+44 = -2*7.5 + 44 = -15 + 44 = 29 degrees.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "CHECK.  61 + 29 = 90 degrees.  ! correct !\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "-------------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "To learn about complementary angles, read the lessons\r
\n" ); document.write( "\n" ); document.write( "    - Angles basics \r
\n" ); document.write( "\n" ); document.write( "    - Vertical angles \r
\n" ); document.write( "\n" ); document.write( "    - HOW TO solve problems on supplementary, complementary or vertical angles - Examples\r
\n" ); document.write( "\n" ); document.write( "    - Solved problems on supplementary and complementary angles
\n" ); document.write( "in this site.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Consider these lessons as your handbook, textbook, guide, tutorials and (free of charge) home teacher.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "You will find there many similar problems, solved with complete explanations.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Learn the subject from there.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );