Question 176447
Here's a better look at the image:


<img src="http://i150.photobucket.com/albums/s91/jim_thompson5910/Algebra%20dot%20com/geo2.png">



Here's a two column proof
<table cellspacing="50">
<th>Statement</th><th>Reason</th>
<tr><td>1. Segment CE bisects Angle DCB</td><td>Given</td></tr>
<tr><td>2. Segment CE is parallel to Segment AB</td><td>Given</td></tr>
<tr><td>3. Angle DCE = Angle ECB</td><td>Definition of Angle Bisection (see statement 1)</td></tr>
<tr><td>4. Angle DCE = Angle CAB</td><td>Corresponding Angles/td></tr>
<tr><td>5. Angle ECB = Angle ABC</td><td>Alternate Interior Angles</td></tr>
<tr><td>6. Angle DCE = Angle ABC</td><td>Substitution (left side)</td></tr>
<tr><td>7. Angle CAB = Angle ABC</td><td>Substitution (left side)</td></tr>
</table>


Note: angle CAB is angle A and angle ABC is angle B