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Using Properties of Parallel Lines

Using Properties of Parallel Lines 1.13 - Solution

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To find we can use the fact that and are vertical angles. By the Vertical Angles Theorem, they are congruent and therefore have the same measure. To find we can either use the fact that and are corresponding angles, or that and are alternate exterior angles. By the Corresponding Angles Theorem and the Alternate Exterior Angles Theorem, the pair of angles will be congruent because the lines that are cut by the transversal are parallel.