document.write( "Question 147270: Given two parallel lines cut by a transversal, prove that a pair of alternate interior angles are congruent. \n" ); document.write( "

Algebra.Com's Answer #107673 by Nate(3500) $\"\"$ $\"About$

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AB and CD are parallel segements cut by transversal EF with G at point of intersection of AB and EF and H at CD and EF:
\n" ); document.write( "angle EGB = angle GHD ~ corresponding angles
\n" ); document.write( "* angle EGB = angle AGH ~ vertical angles
\n" ); document.write( "angle AGH = angle GHD
\n" ); document.write( "Now, a repeat of the properties would show the other two interior angles are congruent. \n" ); document.write( "

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