Respuesta :

Value of x is 11

Step-by-step explanation:

  • Step 1: Find x when ΔABC ≅ ΔDEC.

When these two triangles are congruent, their corresponding angles and sides will be equal.

⇒ ∠B = ∠E

⇒ 44° = 4x

∴ x = 44/4 = 11

Answer:

Step-by-step explanation:

Given that

∆ABC is similar to ∆DEC

This. Implies that

Angle A=D,

Angle B=E

Angle C=C, as expected

Given that B=44°

And E= 4x

Since, we know that B=E

Then,

4x=44

Divide both side by 4

x=44/4

x=11

The value of x is 11