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Use the relationships in the diagram at right to find the values of each variable. Name which geometric relationships you used.  Homework Help ✎



Refer to the Math Notes box in Lesson 2.1.4 if you need help establishing any angle pair relationship.

Since the highlighted angles are vertical angles, and vertical angles are equal, .

is an alternate interior angle to . Recall that alternate interior angles are equal.

Use the Triangle Angle Sum Theorem to calculate : .

To find , notice that it is the exterior angle in the small triangle that contains and . What relationship do those angles have?