Respuesta :

Answer: x = 40

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Work Shown:

Straight lines DF and EC intersect at point A. Because of this, angle DAF is a 180 degree angle.

Angles DAB, BAC, and CAF all combine to form a straight 180 degree angle.

Add up the angles mentioned, set the sum equal to 180, and solve for x

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(angle DAB) + (angle BAC) + (angle CAF) = 180

x + 80 + 60 = 180

x + 140 = 180

x + 140-140 = 180-140 ... subtract 140 from both sides

x = 40

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Answer:

[tex]\Huge \boxed{x=40\°}[/tex]

Step-by-step explanation:

Angles on a straight line add up to 180 degrees.

We can create an equation and solve for x.

x + 80 + 60 = 180

Add the numbers on the left side.

x + 140 = 180

Subtract 140 from both sides.

x + 140 - 140 = 180 - 140

x = 40