document.write( "Question 901156: An angle is 275 degrees less than four times its complement, what is the value of the angles? \n" ); document.write( "
Algebra.Com's Answer #546568 by JulietG(1812)![]() ![]() You can put this solution on YOUR website! Angles complement each other at 90 degrees. \n" ); document.write( "Let A be the first angle, and B be the second. \n" ); document.write( "A + B = 90 \n" ); document.write( "A = 4B - 275 \n" ); document.write( "Substitute the value of A from the second equation into the first. \n" ); document.write( "A + B = 90 \n" ); document.write( "(4B-275) + B = 90 \n" ); document.write( "Add 275 to each side \n" ); document.write( "5B = 365 \n" ); document.write( "Divide each side by 5 \n" ); document.write( "B = 73 degrees \n" ); document.write( "If Angle B is 73 degrees, then Angle A is 17 degrees (90-73). \n" ); document.write( "Prove it: \n" ); document.write( "An angle is 275 degrees less than four times its complement \n" ); document.write( "An angle (17 degrees) is 275 less than 4*73 \n" ); document.write( "4*73=292 \n" ); document.write( "292-275=17 \n" ); document.write( " |