document.write( "Question 173633: ABCD is a parallelogram\r
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document.write( "angle A= 2x+19, angle B= 3x+21. Find all angles \n" );
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Algebra.Com's Answer #128481 by 303795(602)![]() ![]() ![]() You can put this solution on YOUR website! A parallelogram has two pairs of congruent (same sized angles). The four angle sizes add up to 360 degrees. \n" ); document.write( "Angle A and C will be the same size as will angles B and D. \n" ); document.write( "angle A + angle B + angle C + angle D = 360 \n" ); document.write( " 2x+19 + 3x+21 + 2x+19 + 3x+21 = 360 \n" ); document.write( "10x + 80 = 360 \n" ); document.write( "10x = 280 \n" ); document.write( "x=28 \n" ); document.write( "So angle A and C are 2*28+19 = 75 degrees \n" ); document.write( "and angles B and D are 3*28+21 = 105 degrees. \n" ); document.write( " |