document.write( "Question 1129844: Please help me prove the following proof:
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document.write( "Given: Quadrilateral ABCD
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document.write( "Prove: Measure of angle A + measure of angle B + measure of angle C + measure of angle D = 360 degrees
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document.write( "There's a diagram that goes with it but i don't know how to show that \n" );
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Algebra.Com's Answer #746470 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "One way to do this is to split the quadrilateral into two pieces as shown below \n" ); document.write( " ![]() \n" ); document.write( "Recall that the sum of the three angles of any triangle is always 180 degrees. \n" ); document.write( "For each triangle, we can say \n" ); document.write( "A+B+C = 180 \n" ); document.write( "D+E+F = 180 \n" ); document.write( "If we add up the two sides of the equations above, then we get \n" ); document.write( "(A+B+C)+(D+E+F) = 180+180 \n" ); document.write( "(A+D)+B+(C+F)+E = 360 \n" ); document.write( "Which shows that the four angles add up to 360 regardless of what kind of quadrilateral we're working with \n" ); document.write( " \n" ); document.write( " |