Answer:
The complete proof with reasons is explained in step-by-step explaination.
Step-by-step explanation:
Given an angle ∠JMK=m and also MN is the line which bisects the angle ∠JMK that means MN is the line which equally divides the angle ∠JMK.
∠JMK=m
∠JMK = ∠JMN + ∠NMK
It is given that the two angles equally divides by line MN i.e ∠JMN=∠NMK.
⇒ ∠JMK=∠JMN+∠JMN
⇒ m = 2∠JMN
By mulitiplication property of equality
⇒ ∠JMN=[tex]\frac{1}{2}m[/tex]