document.write( "Question 58867: 4. Prove that the sum of the interior angles of a triganle equals 180 degrees without using that theorem.\r
\n" ); document.write( "\n" ); document.write( "Given: line r is parrel to line s\r
\n" ); document.write( "\n" ); document.write( "Prove: m<1 + m<2 + m<3 = 180 degees\r
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Algebra.Com's Answer #40383 by venugopalramana(3286)\"\" \"About 
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4. Prove that the sum of the interior angles of a triganle equals 180 degrees without using that theorem.
\n" ); document.write( "TAKE ABC ANY TRIANGLE . EXTEND BASE BC TO BCX.FROM C DRAW A PARALLEL CY TO AB.
\n" ); document.write( "CY IS PARALLEL TO AB.......CONSTRUCTION
\n" ); document.write( "AC IS A TRANSVERSAL.SO
\n" ); document.write( "ANGLE CAB = ANGLE ACY...( ALTERNATE ANGLES)
\n" ); document.write( "AND BCX IS A TRANSVERSAL.SO
\n" ); document.write( " ANGLE ABC = ANGLE YCX...(CORRESPONDING ANGLES)
\n" ); document.write( "HENCE SUM OF 3 ANGLES IN TRIANGLE ABC
\n" ); document.write( "= ANGLE CAB+ ANGLE ABC + ANGLE ACB = ANGLE ACT + ANGLE YCX + ANGLE ACB\r
\n" ); document.write( "\n" ); document.write( "= A STRAIGHT ANGLE ON LINE BCX=180\r
\n" ); document.write( "\n" ); document.write( "Given: line r is parrel to line s
\n" ); document.write( "Prove: m<1 + m<2 + m<3 = 180 degees
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