Question

Can someone please help me with this geometry problem?

Answer 1

I don't know that we can help you without more info.
Do you have a photo of the problem that you could upload?

Answer 2

1. ray BF bisects ∠ABC                   1. given

   m∠ABD = m∠CBE              

2. ∠ABF ≅ ∠ CBF                            2. angle bisector theorem

3. m∠ABF = m∠CBF                        3. definition of congruency

4. m∠ABF = m∠ABD + m∠DBF       4. angle addition postulate

  m∠CBF = m∠CBE + m∠EBF

5. m∠ABF = m∠CBE + m∠DBF      5. substitution (s1: m∠ABD = m∠CBE)

6. m∠CBF = m∠CBE + m∠DBF       6. substitution (s3: ∠ABF = ∠ CBF)

7. m∠CBE + m∠DBF = m∠CBE + m∠EBF   7. transitive property

8. m∠DBF =  m∠EBF                        8. subtraction property