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Using Properties of Parallel Lines

Using Properties of Parallel Lines 1.16 - Solution

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To find we can use the fact that and are corresponding angles. By the Corresponding Angles Theorem, they are congruent. Therefore, we have that

There are two approaches we can take to find the measure of

  1. The and are alternate exterior angles.
  2. Angles and are vertical angles.

Let's think about the second approach. By the Alternate Exterior Angles Theorem, the pair of angles will be congruent because the lines that are cut by the transversal are parallel. Therefore, is also