BRAINLIST GIVEN What is the length of BC¯¯¯¯¯ ?
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since the ∡C = ∡B, that means their corresponding sides stemming from the vertex A are equal, namely AC = AB.
2x - 24 = x - 2
x = 22.
The angles at the base are the same measure. Hence, this is an isosceles triangle |AC| = |AB|.
Therefore we have the equation:
[tex]2x-24=x-2[/tex] add 24 to both sides
[tex]2x=x+22[/tex] subtract x from both sides
[tex]\boxed{x=22}[/tex]