Given ∠3 = ∠13 , which lines, if any, must be parallel based on the given information? justify your conclusion.

a. c || d, converse of the same-side interior angles theorem

b. a || b, converse of the alternate interior angles theorem

c. not enough information to make a conclusion

d. c || d, converse of the corresponding angles theorem

B., Converse of the alternate interior angles theorem

Step-by-step explanation:

We are given that

We have to find the lines must be parallel based on given information .

To find the parallel lines we will use converse of alternate interior angles theorem.

Converse of alternate interior angles theorem: When alternate interior angles are equal then the  lines are parallel.

Reason: Given

Angle 3 and angle 13 are alternate interior angles

Therefore, by using converse of alternate interior angles theorem

Line a and b are parallel.

Hence, option B is true.

i would say b) is your answer

sorry if im wrong

step-by-step explanation:

17

step-by-step explanation:

51/3=17

thus 17 is your answer.