SOLUTION: If CE bisects Angle DCB and CE is parallel to AB, Prove that angle A is congruent to Angle B Image: http://img154.imageshack.us/img154/7268/84057594cr6.png

Question 176447: If CE bisects Angle DCB and CE is parallel to AB, Prove that angle A is congruent to Angle B

Image: http://img154.imageshack.us/img154/7268/84057594cr6.png
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Here's a better look at the image:

Here's a two column proof

Statement	Reason
1. Segment CE bisects Angle DCB	Given
2. Segment CE is parallel to Segment AB	Given
3. Angle DCE = Angle ECB	Definition of Angle Bisection (see statement 1)
4. Angle DCE = Angle CAB	Corresponding Angles/td>
5. Angle ECB = Angle ABC	Alternate Interior Angles
6. Angle DCE = Angle ABC	Substitution (left side)
7. Angle CAB = Angle ABC	Substitution (left side)

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

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