document.write( "Question 1093187: Problem 2: Given ABCD is a parallelogram, what value must x & y have?\r
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( "(picture of the problem) https://imgur.com/Zr7GLjL \n" );
document.write( "
Algebra.Com's Answer #707799 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! The long way: \n" ); document.write( "5y-28=3y+12, since they are congruent. \n" ); document.write( "2y=40 \n" ); document.write( "y=20 degrees \n" ); document.write( "check that 72=72 \n" ); document.write( "================= \n" ); document.write( "4x-12+5y-28=180, since same side angles are supplementary. I could use 3y+12, because that is equal \n" ); document.write( "substitute 100 for 5y \n" ); document.write( "4x+100-40=180 \n" ); document.write( "4x=120 \n" ); document.write( "x=30 degrees \n" ); document.write( "4x-12=108 degrees \n" ); document.write( "108+72=180 degrees. \n" ); document.write( "================= \n" ); document.write( "The short way: Opposite angles are congruent, so 4x-12=108 and that can give x directly. \n" ); document.write( " |