Big Ideas Math Integrated I, 2016
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Big Ideas Math Integrated I, 2016 View details
2. Parallel Lines and Transversals
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Exercise 7 Page 507

The angles are alternate interior angles.

x=64

Practice makes perfect

The angles are between the two lines and on opposite sides of the transversal. Therefore, we can classify them as alternate interior angles. Since the two lines are parallel, the pair of angles are congruent according to the Alternate Interior Angles Theorem. This means we can equate them 2x=128. Let's solve the equation for x.

2x=128
x=64