document.write( "Question 175911: Given: Angle AKE is congruent to angle REK
\n" ); document.write( "Prove: Segment SK || segment TE (seg. Sk is parallel to seg. TE)\r
\n" ); document.write( "\n" ); document.write( "FIGURE:
\n" ); document.write( "(copy and paste into browser)
\n" ); document.write( "http://i78.photobucket.com/albums/j81/monkeychic101222/geo-proof.jpg\r
\n" ); document.write( "\n" ); document.write( "If someone could help me with this in the next few days, that'd be great!! Thanks! =) \n" ); document.write( "

Algebra.Com's Answer #131120 by jim_thompson5910(35256) $\"\"$ $\"About$

You can put this solution on YOUR website!
I've seen this problem before. I think you're forgetting the given statement: \"angle 1 is congruent to angle 4\". If not, then let me know\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Here's a two column proof
\n" ); document.write( "\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\n" ); document.write( "

Statement	Reason
1. Angle AKE = Angle REK	Given
2. Angle 1 = Angle 4	Given
3. Angle 1 + Angle 2 = Angle AKE	Angle Addition Postulate
4. Angle 3 + Angle 4 = Angle REK	Angle Addition Postulate
5. Angle 1 + Angle 2 = Angle 3 + Angle 4	Substitution (see statement 1)
6. Angle 4 + Angle 2 = Angle 3 + Angle 4	Substitution
7. Angle 2 = Angle 3	Addition Property of Equality
8. Segment SK is parallel to Segment TE	Alternate Interior Angles Converse

\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );