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;
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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