Question

Carlos draws a transversal, t, on two parallel lines AB and CD, as shown below.

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He makes the following table to prove that the alternate interior angles are equal

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Which is the missing justification?

A. Opposite interior angles are congruent when parallel lines are intersected by a transversal.

B. Vertical angles formed by two intersecting segments are congruent.

C. Adjacent angles formed by two intersecting segments are supplementary.

D Opposite exterior angles are congruent when parallel lines are intersected by a transversal.

Answer 1

statement/justification

angle 1 = angle 5 / Corresponding angles of parallel lines are congruent.
angle 1 = angle 3 / ?
angle 3 = angle 5 / transitive property of equality, angle 1 =angle 5, angle 1 = angle 3, therefore angle 3 = angle 5