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Using Properties of Parallel Lines

Using Properties of Parallel Lines 1.15 - Solution

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We should find the measure of  and we know that one angle is

These angles are formed by the parallel lines and a transversal. They lie on opposite sides of the transversal and on different sides of the parallel lines. According to the definition, these are alternate exterior angles. To find the measure of we can use Alternate Exterior Angles Theorem. With the theorem, we conclude that and are congruent and their measures are the same. Therefore, the measure of is also