Ryliharmon Ryliharmon
  • 25-11-2020
  • Mathematics
contestada

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

If AABC ADEC ZB 48 and ZE x 4 class=

Respuesta :

elcharly64
elcharly64 elcharly64
  • 26-11-2020

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]

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