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Lines, Angles, and Triangles

SAT Math· difficulty 3/5

Two lines intersect. One angle measures (2x+30)°(2x + 30)° and its supplementary angle on the same line measures (4x)°(4x)°. What is xx?

  • A

    25

    check_circle
  • B

    35

  • C

    20

  • D

    30

Explanation

Supplementary angles sum to 180°180°: (2x+30)+4x=180(2x + 30) + 4x = 180, so 6x=1506x = 150, giving x=25x = 25.

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