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Complete each statement with the word always, sometimes, or never.

If two lines are cut by a transversal and same-side interior angles are complementary, then the lines are ?¯ parallel.

Short Answer

Expert verified

If two lines are cut by a transversal and same-side interior angles are complementary, then the lines are never parallel.

Step by step solution

01

Step 1. Definition of complementary angles and supplementary angles.

The complementary angles are the angles whose sum is 90°.

The supplementary angles are the angles whose sum is 180°.

02

Step 2. Description of step.

If two lines are parallel and cut by a transversal then the same-side interior angles are supplementary.

03

Step 3. Write the conclusion.

Therefore, if the two lines are parallel and cut by a transversal then the same-side interiorangles are supplementary.

Therefore, if two lines are cut by a transversal and same-side interior angles are complementary, then the lines are never parallel.

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