Respuesta :

well, the triangle is an isosceles, so it twin sides, and the twin sides make twin angles, as we see by the tickmarks on A and C, meaning AB = BC.

[tex]\bf x+4=3x-8\implies 4=2x-8\implies 12=2x\implies \cfrac{12}{2}=x\implies 6=x \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ AC\implies x+4\implies 6+4\implies 10[/tex]

Answer : The length of AC is, 6

Step-by-step explanation :

As we know that when the two angles in a triangle are equal then the there adjacent sides are also equal.

That means,

∠A = ∠C

So,

Side AB = Side BC

x + 4 = 3x -8

3x - x = 8 + 4

2x = 12

x = 6

The values of 'x' is 6

So, the length of AC = x = 6

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