Prove AED is equal to DEB. Do not use vertical angle theorem

Step-by-step explanation:

From the figure attached,

Given:

Lines AB and CD are intersecting each other at a point E.

To prove:

∠ACB ≅ ∠DEB

             Statements                                 Reasons

1). ∠AEC + ∠BEC = 180°                        1). Linear pair theorem

2). ∠DEB + ∠BEC = 180°                       2). Linear pair theorem

3). ∠AEC + ∠BEC = ∠DEB + ∠BEC      3). Transitive property of equality

4). ∠AEC = ∠DEB                                  4). Subtraction property of equality

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