Answer:
[tex]x = 44^\circ[/tex]
Step-by-step explanation:
Triangle Congruence
Given triangle ABC is congruent to triangle DEC, then it's true that angle ABC is congruent to angle DEC.
The figure shows that:
[tex]m\angle B = 48^\circ[/tex]
[tex]m\angle E = x + 4^\circ[/tex]
Those angles are congruent, or have the same measure, thus:
[tex]x + 4^\circ = 48^\circ[/tex]
Subtracting 4°:
[tex]x = 48^\circ - 4^\circ[/tex]
[tex]\mathbf{x = 44^\circ}[/tex]
