Question 176065
I've answered this before, so please let me know if you've already got this solution. If you have questions, feel free to ask me. 




Does the figure look something like this:


<img src="http://i78.photobucket.com/albums/j81/monkeychic101222/geo-proof.jpg">


If so, then here's a two column proof
<table cellspacing="50">
<th>Statement</th><th>Reason</th>
<tr><td>1. Angle AKE = Angle REK</td><td>Given</td></tr>
<tr><td>2. Angle 1 = Angle 4</td><td>Given</td></tr>
<tr><td>3. Angle 1 + Angle 2 = Angle AKE</td><td>Angle Addition Postulate</td></tr>
<tr><td>4. Angle 3 + Angle 4 = Angle REK</td><td>Angle Addition Postulate</td></tr>
<tr><td>5. Angle 1 + Angle 2 = Angle 3 + Angle 4</td><td>Substitution (see statement 1)</td></tr>
<tr><td>6. Angle 4 + Angle 2 = Angle 3 + Angle 4</td><td>Substitution</td></tr>
<tr><td>7. Angle 2 = Angle 3</td><td>Addition Property of Equality</td></tr>
<tr><td>8. Segment SK is parallel to Segment TE </td><td>Alternate Interior Angles Converse</td></tr>
</table>