Respuesta :

The value of x is 6

How to determine the value

From the image given we can see that

m ∠DEF and m ∠FEG are alternate angles

It is important to note that alternate angles are congruent or equal.

Then, we have that

m ∠DEF = m ∠FEG

Where;

  • m ∠DEF  = 5x - 3
  • m ∠FEG = 2x + 15

5x - 3 = 2x + 15

collect like terms

5x - 2x = 15 + 3

3x = 18

make 'x' subject of formula

x = 18/3

x = 6

Thus, the value of x is 6

Learn more about alternate angles here:

https://brainly.com/question/24839702

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