Respuesta :

dchoo333

Answer:

11

Step-by-step explanation:

Use corresponding angles.

Angle FBC is 180 - 147 which is 33.

This means x is 180 - 33 - Angle EBA.

EBA is 180 - 4x.

x = 180 - 33 - (180 - 4x)

x = 180 - 33 - 180 + 4x

-3x = 180 - 33 - 180

-3x = -33

3x = 33

x = 11

Please mark brainliest.

jcherry99

Answer:

Step-by-step explanation:

You need the supplement of <DEB

<DEB and <FEB are supplementary and = 180 degrees.

<DEB = 4x

4x + <FEB = 180             Subtract 4x from both sides

<FEB = 180 - 4x

Next you need the supplement of 147 degrees.

<EFB + <GFB = 180

<EFB + 147 = 180

<EFB = 180 - 147

<EFB = 33

Now you have enough information to solve for x. There are other ways this could have been done.

33 + 180 - 4x + x = 180            All triangles have 180 degrees

- 3x +213 = 180                        Subtract 213 from both sides    

- 3x = 180 - 213                        Combine

-3x = -33                                  Divide by - 3

-3x/-3 = - 33 / -3

x = 11

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