document.write( "Question 612423: One angle is four times as large as its supplement. What is the measure of the smaller angle? \n" ); document.write( "
Algebra.Com's Answer #385484 by llorton(14)![]() ![]() ![]() You can put this solution on YOUR website! The sum of two supplementary angles is, by definition, 180 degrees.\r \n" ); document.write( "\n" ); document.write( "If we let x = the smaller angle, then 4x = the larger angle\r \n" ); document.write( "\n" ); document.write( "Since they are supplementary angles, we have \n" ); document.write( "x + 4x = 180 \n" ); document.write( " 5x = 180 \n" ); document.write( "Dividing both sides of the equation by 5 yields \n" ); document.write( " x = 36 \n" ); document.write( "The measure of the smaller angle is 36 degrees. \n" ); document.write( " |