Lines, Angles, and Triangles

SAT Math· difficulty 4/5

Two parallel lines ell1\\ell_1 and ell2\\ell_2 are cut by a transversal. An angle on ell1\\ell_1 is (4x+12)°(4x + 12)° and the corresponding angle on ell2\\ell_2 is (7x24)°(7x - 24)°. What is the value of xx?

  • A

    12

    check_circle
  • B

    8

  • C

    14

  • D

    10

Explanation

Corresponding angles are equal: 4x+12=7x244x + 12 = 7x - 24, so 36=3x36 = 3x, giving x=12x = 12.

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