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Lines, Angles, and Triangles

SAT Math· difficulty 4/5

Lines ell1\\ell_1 and ell2\\ell_2 are parallel. A transversal makes an angle of 40°40° with ell1\\ell_1 on one side. A second transversal, parallel to neither, makes an angle of 70°70° with ell1\\ell_1. What is the angle between the two transversals?

  • A

    40°40°

  • B

    110°110°

  • C

    70°70°

  • D

    30°30°

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Explanation

The two transversals share a vertex on ell1\\ell_1 and form angles of 40°40° and 70°70° measured from ell1\\ell_1 on the same side. The angle between them is 70°−40°=30°70° - 40° = 30°.

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