Question

Two parallel lines are cut by a transversal, then which of the following are true? 1. Pair of alternate interior angles are congruent. 2. Pair Of corresponding angles are congruent. 3. Pair of interior angles on the same side of the transversal are supplementary. A) 2 and 3 B) 1 and 3 C) 1 and 2 D) All of these

Answer 1

The statements that pairs of alternate interior angles are congruent, pairs of corresponding angles are congruent, and pairs of interior angles on the same side of transversal are supplementary are all true when two parallel lines are cut by a transversal.

Step-by-step explanation:

When two parallel lines are cut by a transversal, all three claims mentioned in the question are true. 1. Pair of alternate interior angles are congruent means that they have the same measurement, this is because the transversal intersects two parallel lines and angles that lie between the parallel lines on opposite sides of the transversal are equal. 2. Pair of corresponding angles are congruent. Corresponding angles refer to angles that are in similar positions where the transversal line intersects each of the two parallel lines. 3. Pair of interior angles on the same side of the transversal are supplementary. This means the sum of two interior angles is 180°.

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