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Problem Solving (PS) | If AB < BC < CA, AD = DC, and each angle of triangle ACB is a whole nu

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Bunuel wrote:

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If AB < BC < CA, AD = DC, and each angle of triangle ACB is a whole number of degrees, which of the following is the maximum possible value of angle DAB? (Note: Diagram is not drawn to scale)

A) 9°
B) 14°
C) 19°
D) 21°
E)51°


Breaking Down theInfo:

From AB < BC < CA, we can use the angle relationship of a triangle to find\( \angle ACB < \angle CAB < \angleB\) .

We know\( \angleACB\) has to be at least 50 degrees.
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