Which theorem correctly justifies why the lines m and n are parallel when cut by transversal k? a. converse of corresponding angles theorem b. converse of the alternate interior angles theorem c. converse of the same side interior angles theorem d. converse of the alternate exterior angles theorem

see the attached figure with letters to better understand the problem

we know that

If the lines m and n are parallel

then

m∠c=m∠f > by alternate interior angles

we have

m∠c=

m∠f=

substitute

  > is true

therefore

the lines are parallel

the answer is the option

B. Converse of the alternate interior angles theorem

keene f. ffnfnfnfnfnfnfn f bfnfnfnfnfj