document.write( "Question 830236: In parallelogram ABCD the measure of angle A is three times that of angle B. What are the measures of C and D? \n" ); document.write( "
Algebra.Com's Answer #500448 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! In parallelogram ABCD the measure of angle A is three times that of angle B. What are the measures of C and D?\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "----------------------------------------------------------------------------------------------------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "\"the measure of angle A is three times that of angle B\" ----> \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "For ALL parallelograms, the adjacent angles are supplementary. So that means the two angles add to 180 degrees\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "A+B = 180\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "3B+B = 180 ... plug in A = 3B\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "4B = 180\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "B = 180/4\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "B = 45\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "A = 3B\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "A = 3*45\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "A = 135\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-------------------------------------------------------\r \n" ); document.write( "\n" ); document.write( "For ALL parallelograms, the opposite angles are congruent (ie equal), which means\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "A = C\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "135 = C\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "C = 135\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "B = D\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "45 = D\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "D = 45\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-------------------------------------------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Summary:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "A = 135 degrees \n" ); document.write( "B = 45 degrees \n" ); document.write( "C = 135 degrees \n" ); document.write( "D = 45 degrees \n" ); document.write( " \n" ); document.write( " |