document.write( "Question 1013917: Angle 1 and Angle 2 are supplementary angles. If Angle 1 measures 4x + 2 degrees and Angle 2 measures 5x - 11 degrees, what is the measure of angle 2?
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Algebra.Com's Answer #630366 by ikleyn(52782)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "Angle 1 and Angle 2 are supplementary angles. If Angle 1 measures 4x + 2 degrees and Angle 2 measures 5x - 11 degrees, what is the measure of angle 2? \n" ); document.write( "---------------------------------------------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Since the angles A1 and A2 are supplementary, the sum of their measures is 180°.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "It gives you an equation\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(4x + 2) + (5x - 11) = 180,\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "9x - 9 = 180,\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "9x = 180 + 9 = 189,\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Therefore, the measure of the Angle 2 is 5x - 11 = 5*21 - 11 = 105 - 11 = 94°.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Answer. The measure of the Angle 2 is 94°.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |