Respuesta :

Angle ∠DFG and angle ∠EFG are supplementary angles. THen the value of the variable x will be 37.

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What is an angle?

The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.

Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.

∠DFG = (2x + 6)° and ∠EFG = (3x − 11)°

Angle ∠DFG and angle ∠EFG are supplementary angles.

∠DFG + ∠EFG = 180

2x + 6 + 3x - 11 = 180

             5x - 5 = 180

                   5x = 185

                     x = 37

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