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E is between D and F.

Given: E is between D and F

Prove: DE = DF − EF.

 Statements Reasons

1. E is between D and F Given

2. D, E, and F are collinear points, and E is on ¯DF Definition of between

3. DE + EF = DF Segment Addition Postulate

4. DE = DF − EF Subtraction property of equality

2. If →BD divides ∠ABC into two angles, ∠ABD and ∠DBC, then m∠ABC = m∠ABC - m∠DBC.

Step-by-step explanation:

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