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Lines, Angles, and Triangles

SAT Math· difficulty 3/5

In parallelogram ABCDABCD, ∠A=2x+10\angle A=2x+10 and ∠B=4x−40\angle B=4x-40. What is xx?

  • A

    4545

  • B

    3535

    check_circle
  • C

    3030

  • D

    2525

Explanation

Adjacent angles supplementary: (2x+10)+(4x−40)=180(2x+10)+(4x-40)=180, so 6x=2106x=210, x=35x=35.

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