document.write( "Question 1153152: If angle A and angle B are supplementary angles and angle A is 3 times as large as angle B find the measures of angle A and Angle B \n" ); document.write( "
Algebra.Com's Answer #775317 by Theo(13342)![]() ![]() You can put this solution on YOUR website! if the angles are supplementary than their sum is 180 degrees. \n" ); document.write( "A + B = 180 \n" ); document.write( "if angle A is 3 times as large as angle B, then: \n" ); document.write( "A = 3B \n" ); document.write( "equation becomes: \n" ); document.write( "3B + B = 180 \n" ); document.write( "combine like terms to get: \n" ); document.write( "4B = 180 \n" ); document.write( "solve for B to get: \n" ); document.write( "B = 180 / 4 = 45 \n" ); document.write( "angle A is 3 time angle B, therefore angle A is 135 degrees. \n" ); document.write( "135 + 45 = 180 therefore the angles are supplementary. \n" ); document.write( "solution is angle A is 135 degrees and angle B is 45 degrees. \n" ); document.write( " |