document.write( "Question 1013743: The complement of an angle is 30 less than twice angle. Find the larger angle.
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #630035 by ikleyn(52787) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "The complement of an angle is 30 less than twice angle. Find the larger angle.
\n" ); document.write( "-----------------------------------------------------------------------------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Let x be the unknown angle of the condition.
\n" ); document.write( "Then the complementary angle is 90°-x.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "According to the condition,\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "90 - x = 2x - 30.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Solve it:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "90 + 30 = 2x + x,\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "3x = 120.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Thus one angle is 40°. The other angle is 50°.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Answer. The larger angle is 50°.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );