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Geometric proof of the Angle Bisector Theorem illustrating triangle ABC with an angle bisector from vertex A to side BC.

Proof of Angle Bisector Theorem diagram showing triangle ABC with angle bisector from A to point D on BC, and points E and X on the extended lines, with markings for equal angles and sides.

Proof of Angle Bisector Theorem diagram showing triangle ABC with angle bisector from A to point D on BC, and points E and X on the extended lines, with markings for equal angles and sides.

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