In a triangle \( \triangle ABC \), let the angle bisectors of \(\angle A\) and \(\angle B\) intersect at point \( D \) inside the triangle. Given that \(\angle A = 60^\circ\) and \(\angle B = 70^\circ\), find the measure of \(\angle ADC\). Let's think step by step and output the final answer within \boxed{}.
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