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 .
Question
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 .
Solution
When two parallel lines are cut by a transversal, the following conclusions can be made about the interior angles:
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Each pair of alternate interior angles is congruent. This means that they have the same measure. For example, if one angle measures 80 degrees, then its alternate interior angle will also measure 80 degrees.
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Each pair of same-side interior angles is supplementary. This means that the sum of their measures is 180 degrees. For example, if one angle measures 80 degrees, then its same-side interior angle will measure 100 degrees (because 180 - 80 = 100).
These properties are a direct result of the lines being parallel and can be used to prove that lines are parallel in a geometric proof.
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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.
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