document.write( "Question 1062052: The measure of angle E is 55 degrees less than the measure of angle F, its supplement. What is the measure of angle E?
\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #676822 by math_helper(2461)![]() ![]() You can put this solution on YOUR website! Supplemental angles add to 180 degrees.\r \n" ); document.write( "\n" ); document.write( "So E+F = 180. If you know E=F-55 then: \n" ); document.write( " (F-55)+F = 180 \n" ); document.write( " 2F-55 = 180 (combined like-terms) \n" ); document.write( " 2F-55+55 = 180+55 (added 55 to both sides) \n" ); document.write( " 2F = 235 \n" ); document.write( " F = 117.5 \n" ); document.write( " E = 180-F = 180-117.5 = 62.5 \n" ); document.write( "— \n" ); document.write( "Ans: E is 62.5 degrees, F is 117.5 degrees \n" ); document.write( "-- \n" ); document.write( "Check1: E+F = 117.5+62.5 = 180 (ok) \n" ); document.write( "Check2: E = F-55 \n" ); document.write( " 62.5 = 117.5-55 \n" ); document.write( " 62.5 = 62.5 (ok) \n" ); document.write( " \n" ); document.write( " |