If two parallel lines are cut by a transversal, then each pair of alternate interior angles are
a. congruent
b. supplementary

Dear Student,

In the figure above, Line l and m are parallel to each other and is cut by traversal n.

angle 1 and angle 4 are pair of alternate interior angle

1 + 2 = 180° ..............eq 1(Linear pair of angle)4 + 2 = 180° .............eq 2(sum of interior angles on the same side of traversal is 180°)from eq 1 and eq 2, we get,1 = 4
Here we can see that alternate interior angles are equal or congruent.​​​​​​


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