The problem stated that triangles ABC and DEF are congruent, which means that angle A on triangle ABC and angle D on triangle DEF are also congruent. Hence, we have
[tex]m\angle D\cong m\angle A[/tex]
Substitute the given algebraic equations describing the measurements of the angles on the equation above, we have
[tex]2x=x+22[/tex]
Solve for x
[tex]\begin{gathered} 2x-x=22 \\ x=22 \end{gathered}[/tex]
Hence, the measurement of angle A is
[tex]\begin{gathered} m\angle A=22+22 \\ m\angle A=44 \end{gathered}[/tex]
Answer: 44 degrees
