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Using Properties of Parallel Lines

Using Properties of Parallel Lines 1.6 - Solution

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To find the measure of angle we should determine the relation between  and

These angles are formed by the parallel lines and a transversal. They both lie on the same side of the transversal and on the same left side of the parallel lines. According to the definition, these are called corresponding angles. Thus, to find the measure of we can use Corresponding Angles Theorem. By the theorem, we conclude that and are congruent, so their measures are the same. Therefore, the measure of is also