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Lines, Angles, and Triangles

SAT Math· difficulty 3/5

Two parallel lines are cut by a transversal. One pair of alternate interior angles measures (3x+10)°(3x + 10)° and (5x−30)°(5x - 30)°. What is the value of xx?

  • A

    10

  • B

    25

  • C

    15

  • D

    20

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Explanation

Alternate interior angles are equal: 3x+10=5x−303x + 10 = 5x - 30. So 40=2x40 = 2x, giving x=20x = 20.

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