Decide weather there is enough information to prove that j is parallel to k. If so state the theorem you would use.

Step-by-step explanation:

12). From the picture attached,

     Supplementary angle of the angle measuring 113° = 180° - 113° = 67°

     Since, angles measuring 67° as shown in the figure are the alternate interior angles,

     Therefore, by the converse of alternate interior angles theorem, lines j and k will be parallel.

13). Angles formed on the one side of the parallel lines and the transverse line are equal in measure (90°).

   Therefore, by the converse of corresponding angles postulate, lines j and k will be parallel.