Common Core Geometry Practice Test

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Two parallel lines are cut by a transversal. A pair of alternate interior angles measure (3x + 12)° and (5x - 26)°. What is the value of x?
Correct Answer:
19
Explanation:
Alternate interior angles formed by parallel lines are congruent. Set 3x + 12 = 5x - 26. Then 38 = 2x, so x = 19.

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