Question

determine whether the statement is always, sometimes, or never true. same - side interior angles are right angles. choose the correct answer below. a. the statement is sometimes true. b. the statement is never true. c. the statement is always true.

Explanation:

Step1: Recall same - side interior angles property

Same - side interior angles formed by two parallel lines and a transversal are supplementary, i.e., their sum is 180°.

Step2: Analyze when they are right angles

If each of the same - side interior angles is 90°, then their sum is 180°. This occurs when the two lines are parallel and the transversal is perpendicular to the parallel lines. In other non - parallel line cases or when the transversal is not perpendicular to parallel lines, they are not right angles.

Answer:

A. The statement is sometimes true.