Respuesta :

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]