hw253424 hw253424
  • 20-03-2021
  • Mathematics
contestada

This is geometry! Help me please

This is geometry Help me please class=

Respuesta :

akposevictor
akposevictor akposevictor
  • 25-03-2021

Answer:

m<GFC = 149°

Step-by-step explanation:

m<GFC = m<C + m<CDF (exterior angle theorem)

Substitute

12x - 7 = 26 + 8x + 19

Subtract 8x from each side

12x - 7 - 8x = 26 + 8x + 19 - 8x

4x - 7 = 26 + 19

4x - 7 = 45

Add 7 to both sides

4x - 7 + 7 = 45 + 7

4x = 52

Divide both sides by 4

4x/4 = 52/4

x = 13

✔️m<GFC = 12x - 7

Plug in the value of x

m<GFC = 12(13) - 7 = 149°

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