
Howard A. answered 05/29/23
National Board Certified in Mathematics 6 – 12
Statements Reasons
1.BS=BN 1.Given
2.BE=BS+SE 2.Segment Addition Postulate
3.BE=BN+SE 3.Substitution Property of Equality
4.BE>BN 4.Property of Inequality
5.BR=BR 5.Reflexive Property of Equality
6.RE=RN 6.Given
7.m∠BRE > m∠BRN 7.Converse of the Hinge Theorem
Please note that I separated the Givens because I didn't use RE=RN until the end of the proof.
I hope that this helps. Please feel free to contact me if you have any other questions.