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Lines, Angles & Transversals

Section: GeometryGRE frequency: HighPro

1. Core Idea

Almost every angle-chasing question is solved by repeatedly applying three facts:

  1. Angles on a straight line add to 180 degrees.
  2. Angles around a point add to 360 degrees.
  3. Parallel lines cut by a transversal create only two distinct angle values, and they sum to 180.

That third point is the one to hammer: with parallel lines there are only ever two numbers on the page — call them x and 180 - x.


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