Respuesta :

The answer is 45 degrees for the measure of angle 4

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Answer:

  ∠4 = 45°

Step-by-step explanation:

Angles 2 and 4 are in the northwest corner of the intersection of the transversal and the parallel lines. That means they are corresponding angles, and so are congruent.

  ∠2 = ∠4

  2x +15 = x +30 . . . . substitute the given expressions

  x = 15 . . . . . . . . subtract x+15

  ∠4 = x+30 = 15 +30

  ∠4 = 45°