Question

The answer is 3/2x but I don’t know how to solve it... please explain

Answer 1

Answer:

  y = 3/2x by making use of angle relationships in triangles

Step-by-step explanation:

Here's one way to solve it.

  ∠ADE is an external angle to ΔBDE. As such, its measure will be the sum of the measures of the remote interior angles, ∠DBE and ∠DEB:

  ∠ADE = 2x° +y°

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If we call the intersection point of AC and DE point G, then ∠AGE is an exterior angle to ΔADG. As such, its measure is the sum of the remote interior angles:

  ∠AGE = ∠GAD +∠GDA

  3y° = x° +(2x° +y°)

  2y = 3x . . . . . . . . . . subtract y°, collect terms, divide by °

  y = (3/2)x . . . . . . . . divide by 2