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What is the length of AB?
A. 6
B. 9
C. 3
D. 12

[tex]\angle A\cong\angle C\ \text{thereofre the triangle ABC is an isosceles triangle}\\\text{Therefore we have the equation:}\\\\4x=2x+6\ \ \ \ \ |subtract\ 2x\ from\ both\ sides\\2x=6\ \ \ \ \ |divide\ both\ sides\ by\ 2\\\boxed{x=3}\\\\AB=4x\to AB=4\cdot3=12\\\\ANSWER:\ D.\ 12[/tex]