document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1181982>Question 1181982</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given: angle QPS is equal and congruent to angle TPR <BR>\n" );
document.write( "Prove: angle QPR is equal and congruent to angle TPS.\r<BR>\n" );
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document.write( "The diagram has angle QPT divided into 3 smaller angles.<BR>\n" );
document.write( "Left: QPR<BR>\n" );
document.write( "Interior: RPS<BR>\n" );
document.write( "Right: SPT<BR>\n" );
document.write( "The interior angle RPS is significantly larger than the 2 exterior angles QPR and SPT.\r<BR>\n" );
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document.write( "1.angle QPS =& congruent angle TPR.   Given\r<BR>\n" );
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document.write( "2.m angle QPS = m angle TPR.    Definition. of congruence \r<BR>\n" );
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document.write( "3.m angle QPS = m angle QPR + m angle RPS.     Angle addition <BR>\n" );
document.write( "  m angle TPR = m angle TPS + m angle RPS.       postulate \r<BR>\n" );
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document.write( "4. ____________________________.            Substitution \r<BR>\n" );
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document.write( "5._______________________________.        ________________\r<BR>\n" );
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document.write( "6. Angle QPR =&congruent to angle TPS.    __________________ </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #849958 by </B><A HREF=/tutors/aboutme.mpl?userid=CPhill><B>CPhill(1959)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=CPhill><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=CPhill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=849958\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Here's the completed proof:\r<BR>\n" );
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document.write( "1.  ∠QPS ≅ ∠TPR.   Given\r<BR>\n" );
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document.write( "2.  m∠QPS = m∠TPR.    Definition of congruence\r<BR>\n" );
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document.write( "3.  m∠QPS = m∠QPR + m∠RPS.     Angle Addition Postulate<BR>\n" );
document.write( "    m∠TPR = m∠TPS + m∠RPS.       Angle Addition Postulate\r<BR>\n" );
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document.write( "4.  m∠QPR + m∠RPS = m∠TPS + m∠RPS.            Substitution (Substituting step 2 into step 3)\r<BR>\n" );
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document.write( "5.  m∠QPR = m∠TPS.        Subtraction Property of Equality (Subtract m∠RPS from both sides)\r<BR>\n" );
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document.write( "6.  ∠QPR ≅ ∠TPS.    Definition of congruence<BR>\n" );
document.write( " </SPAN>\n" );
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