Answer:
x = 15 degrees
Explanation:
First, ∠D is congruent to ∠DEG
[tex]\angle D\cong\angle E[/tex]
Since EG bisects ∠DEF
[tex]\angle\text{DEG}\cong\angle\text{GEF}[/tex]
Therefore:
[tex]\begin{gathered} \angle D\cong\angle\text{DEG}\cong\angle\text{GEF} \\ 4x=2x+30 \\ 4x-2x=30 \\ 2x=30 \\ x=\frac{30}{2} \\ x=15^0 \end{gathered}[/tex]
The value of x is 15.
