Lines, Angles, and Triangles

SAT Math· difficulty 3/5

Two parallel lines are cut by a transversal. Two co-interior (same-side interior) angles measure (2x)°(2x)° and (3x+30)°(3x + 30)°. What is xx?

  • A

    40

  • B

    60

  • C

    20

  • D

    30

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Explanation

Co-interior angles are supplementary: 2x+3x+30=1802x + 3x + 30 = 180, so 5x=1505x = 150, giving x=30x = 30.

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