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Math·Geometry and Trigonometry·Lines, angles, and triangles

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For isosceles triangle $ABC$, $AB=BC=64$, the measure of angle $ABC$ is $36^{\circ }$, point $D$ lies on $\overline{BC}$, and $\angle BAC$ is bisected by $\overline{AD}$. Which of the following statements must be true?

A

$AB=AC=BC$

B

$AD=BD=AC$

C

$BD=CD=AC$

D

$AB=BD=AD$