Question

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

Answer 1

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