madisonryan01 madisonryan01
  • 28-08-2019
  • Mathematics
contestada

a. −39
b. 34
c. 26
d. −34
e. −26

a 39 b 34 c 26 d 34 e 26 class=

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 30-08-2019

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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