document.write( "Question 2207: The measure of an angle is 28 degrees greater than it's compliment. Find the measure of each angle. \n" ); document.write( "
Algebra.Com's Answer #896 by matthew_sessoms(39)![]() ![]() ![]() You can put this solution on YOUR website! Complementary angles = 90 degrees \n" ); document.write( " \n" ); document.write( "Lets set up the equation just like you said it. \n" ); document.write( " \n" ); document.write( "The measure of an angle--90 \n" ); document.write( "is = \n" ); document.write( "28 degrees greater than it's compliment (let the compliment by x)--28+x \n" ); document.write( "And, of course, the compliment itself--x \n" ); document.write( " \n" ); document.write( "Now, combine these and we get... \n" ); document.write( "90 = (28 + x) + x \n" ); document.write( "x = 31 \n" ); document.write( " \n" ); document.write( "The compliment angle is 31. \n" ); document.write( "Now, plug 31 in for x for (28 + x), and we get 59 \n" ); document.write( " \n" ); document.write( "So the 2 angles have a measure of 31 & 59 \n" ); document.write( " \n" ); document.write( "CHECK \n" ); document.write( "28 + the compliment angle + the compliment angle = 90 \n" ); document.write( "28 + 31 + 31 = 90 \n" ); document.write( "MS \n" ); document.write( " \n" ); document.write( " |