Question

parallel lines and transversals

we know that the orange angles are all the same measure, (≅ △s).
we know that the purple angles are all the same measure, (≅ △s).

1. looking at the image:

if you have two // lines cut by a transversal, then the alternate interic angles are...
congruent
≅
supplementary
+180°
all of the above
none of the above

Explanation:

When two parallel lines are cut by a transversal, alternate interior angles are congruent (have the same measure). Supplementary angles add up to \(180^{\circ}\), but alternate interior angles are not supplementary unless each is \(90^{\circ}\). Since alternate interior angles are congruent, the option "Congruent" is correct and "All of the above" and "None of the above" are incorrect.

Answer:

Congruent