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sqdancefan

9514 1404 393

Answer:

  x = 22.5°

Step-by-step explanation:

Angle BED ≅ angle EBC = 6x, so angle BEA = 4x. The angles FEB and BEA form a linear pair, so we have ...

  4x +4x = 180°

  x = 22.5° . . . . . . divide by 8

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BED and EBC are "alternate interior angles" with respect to transversal BE crossing parallel lines DE and AC.

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