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Which one of the following statements regarding angles around two lines and a transversal are not true?Select one:a.When two lines are not parallel then the measures of two corresponding angles will not be equal.b.If the measures of two alternate interior angles are equal then the two lines must be parallel.c.Two interior angles on the same side of a transversal will be supplementary, whether the lines are parallel or not.d.Of two lines are parallel then the measures of any two alternate interior angles will be equal.

Question

Which one of the following statements regarding angles around two lines and a transversal are not true?Select one:a.When two lines are not parallel then the measures of two corresponding angles will not be equal.b.If the measures of two alternate interior angles are equal then the two lines must be parallel.c.Two interior angles on the same side of a transversal will be supplementary, whether the lines are parallel or not.d.Of two lines are parallel then the measures of any two alternate interior angles will be equal.

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Solution

The statement that is not true is: c. Two interior angles on the same side of a transversal will be supplementary, whether the lines are parallel or not.

This statement is not always true. Two interior angles on the same side of a transversal are supplementary only when the lines are parallel. If the lines are not parallel, these angles may not add up to 180 degrees, and therefore, they are not supplementary.

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Similar Questions

Which of the following statement is CORRECT when parallel lines are cut by a transversal? A. The angles in linear pair are supplementary B. The sum of the degree measure of complementary angles is 180 C. Corresponding angles are congruent D. The sum of the degree measure of corresponding angles is 180

Which statements about angles are true? Check all that apply. Supplementary angles have angle measures that add up to 180°. There are three types of angles: acute, straight, and right. Angles that are a linear pair have measures that add up to 180°. Straight lines are also straight angles that measure 180°. Complementary angles have angle measures that add up to 90°.

What can you conclude about the interior angles formed when two parallel lines are cut by a transversal?Each pair of alternate interior angles is .Each pair of same-side interior angles is .

If two parallel lines are cut by a tranversal, then alternate interior angles are congruent  True False

When two parallel lines are cut by a transversal, interior angles are supplementary.

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