document.write( "Question 173907This question is from textbook geometry integration applications connections
\n" ); document.write( ": can you please help me with this problem <<<< write a proof about of Theorem 6-6 >>>>> theorem 6-6 states that if both pairs of opposite angles of a quadrilateral are congruent, then the quadrilateral is a parallelogram.
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Algebra.Com's Answer #128862 by Mathtut(3670)\"\" \"About 
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document.write( "            statement                           reason\r\n" );
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document.write( "1. angle Q congruent to angle S           1. Given\r\n" );
document.write( "   angle R congruent to angle T \r\n" );
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document.write( "2. angles Q+R+S+T =360 d                  2.sum of the angles theorem\r\n" );
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document.write( "3. angles R+R+S+S= 360 d                  3. subsitution post.\r\n" );
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document.write( "4. angles 2R+2S  = 360 d                  4. addition post.\r\n" );
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document.write( "5. angles R + S  = 180 d                  5. div. post.\r\n" );
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document.write( "6. angles T + S  = 180 d                  6. subst. post.\r\n" );
document.write( "   angles T + Q  = 180 d\r\n" );
document.write( "   angles R + Q  = 180 d\r\n" );
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document.write( "7. QRST is a parallelogram                7. if the consecutive angles of a quad\r\n" );
document.write( "                                             rilateral are supplementary the \r\n" );
document.write( "                                             quad is a parallelogram\r\n" );
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