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

If AABC = ADEC, ZB = 48° and ZE = x + 4-example-1

1 Answer

3 votes

Answer:


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}

User Fatma
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