Respuesta :

Answer:

  d.  -34

Step-by-step explanation:

Angles F and C are supplementary, so ...

  (2x +146)° + (4x +238)° = 180°

  6x = -204 . . . . . divide by °, collect terms, subtract 384

  x = -34 . . . . . . . . divide by 6

_____

Check

∠F = 2x+146 = 2(-34)+146 = 78 . . . . degrees

∠C = 4x+238 = 4(-34)+238 = 102 . . degrees

These angles are both positive and supplementary. The answer checks OK.

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