Prove using two-column form. Given: RE=RN,BS = BN. Prove: m∠BRE > m∠BRN

Question

Answer 1

1. Given: RE = RN, BS = BN
2. Since RE = RN, the sides ER and RN are congruent.
3. Since BS = BN, the sides BS and BN are congruent.
4. In triangle BRE, we have two sides (ER and BS) that are congruent to corresponding sides in triangle BRN.
5. By the Side-Side-Side (SSS) congruence property, triangle BRE is congruent to triangle BRN.
6. If two triangles are congruent, their corresponding angles are congruent as well.
7. Therefore, m∠BRE = m∠BRN.
8. Since m∠BRE and m∠BRN are equal, m∠BRE is not greater than m∠BRN.

Based on the given information, we cannot prove that m∠BRE is greater than m∠BRN.