We are given that angle A and B are complementarty
This implies
[tex]\angle A+\angle B=90^{\circ}[/tex]
And we have that
[tex]\begin{gathered} m\angle A=26^{\circ}+x \\ m\angle B=38^{\circ}+x \end{gathered}[/tex]
This implies
[tex]26^{\circ}+x+38^{\circ}+x=90^{\circ}[/tex]
solving for x
[tex]\begin{gathered} 2x+64=90 \\ 2x=90-64 \\ 2x=26 \\ x=\frac{26}{2} \\ x=13^{\circ} \end{gathered}[/tex]
Therefore,
The value of x is 13 degree
