Question

Given Z11 ~= Z13

Which lines, if any, must be parallel based on the given information? Justify your conclusion.

A) c || d, converse of the alternate exterior angles theorem.

B) a || b, converse of the corresponding angles theorem

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

D) Not enough information to make a conclusion.

Answer 1

c∥d, Converse of the Alternate Exterior Angles Theorem

Explanation:

I took the test other answer is right

Answer 2

Line c ║ line d, applying the converse of the alternate exterior angles theorem.

Explanation:

See the given diagram attached.

It is given that ∠ 11 = ∠ 13.

Hence, from this we can conclude that line c ║ line d, applying the converse of the alternate exterior angles theorem.

The alternate exterior angle theorem says that if one line is the transverse line of any two other parallel lines then the alternate exterior angles so generated will be equal. (Answer)