Question

If AABC = ADEC, ZB = 48° and ZE = x + 4

Answer 1

Answer:

$x = 44^\circ$

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:

$m\angle B = 48^\circ$

$m\angle E = x + 4^\circ$

Those angles are congruent, or have the same measure, thus:

$x + 4^\circ = 48^\circ$

Subtracting 4°:

$x = 48^\circ - 4^\circ$

$\mathbf{x = 44^\circ}$