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GRE
GRE Quantitative Reasoning Section

Relationship between Angles in Parallel Lines

Very Hard Geometry Lines And Angles

Consider a transversal line that intersects two parallel lines. Let the angles formed be defined as follows:

  • Angle 1: An exterior angle on the top left side
  • Angle 2: An interior angle on the bottom left side
  • Angle 3: An interior angle on the bottom right side
  • Angle 4: An exterior angle on the top right side

If the measure of Angle 1 is $x$ degrees, then based on the properties of parallel lines cut by a transversal, which of the following statements is true regarding the relationship between the measures of Angle 2 and Angle 3?

Hint

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