Let $ABCD$ be a quadrilateral with $\angle ADC = 70^{\circ}$, $\angle ACD = 70^{\circ}$, $\angle ACB = 10^{\circ}$, and $\angle BAD = 110^{\circ}$. Determine the measure of $\angle CAB$ (in degrees).

Let's think step by step and output the final answer within \boxed{}.
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