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Home > CC4 > Chapter 8 > Lesson 8.2.2 > Problem 8-113

8-113.

Use the angle relationships in the diagram below to determine the value of each variable. Name which geometric relationships you used. Homework Help ✎
Shape

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?