Question

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

Answer 1

`x = 44^\circ`

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}`