Question 175998
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>