Question

GIVEN:MN is an angle bisector of ∠JMK
Prove:m∠JMN=1/2m∠JMK

Answer 1

Answer:

Step-by-step explanation:

                  Statements                                           Reasons

1. MN is an angle bisector of ∠JMK        1. Given

2. ∠JMN ≅ ∠NMK                                    2. Definition of an angle bisector

3. m∠JMN ≅ m∠NMK                              3. Definition of congruent angles

4. m∠JMN + m∠NMK = m∠JMK              4. Angle addition postulate

5. m∠JMN + m∠JMN = m∠JMK              5. Substitution property

6. 2(m∠JMN) = m∠JMK                           6. Addition property of equality

7. m∠JMN = $\frac{1}{2}(m\angle JMK)$                         7. Division property of equality