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Lines, Angles, and Triangles

SAT Math· difficulty 4/5

Lines ell1parallelell2\\ell_1 \\parallel \\ell_2 are cut by a transversal. The interior angles on the same side measure (3x+5)°(3x + 5)° and (2x+25)°(2x + 25)°. What is the value of xx?

  • A

    30

    check_circle
  • B

    35

  • C

    25

  • D

    40

Explanation

Same-side interior angles sum to 180°180°: (3x+5)+(2x+25)=180(3x+5) + (2x+25) = 180, so 5x+30=1805x + 30 = 180, 5x=1505x = 150, x=30x = 30.

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