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Find the angles x, a, and y given the diagram and that the lines are parallel.

Mathematics

ScanSolve AI Answer

Step-by-step solution

3 steps

Here's how to calculate xx, aa, and yy:

  1. Calculate xx.

    The angle xx and the 50∘50^\circ angle are alternate interior angles between the top parallel line and the middle parallel line. Alternate interior angles are equal.

    x=50∘x = 50^\circ
  2. Calculate aa.

    The angle aa and the angle xx are vertically opposite angles at the intersection point D. Vertically opposite angles are equal.

    a=xa = x

    Since x=50∘x = 50^\circ, then

    a=50∘a = 50^\circ
  3. Verify aa using co-interior angles.

    The angle aa (

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