In a cyclic quadrilateral ABCD, the diagonal AC bisects the angle C. Which of the following statements is/are correct ? I. \angle ABD = \angle ADB II. The diagonal BD is parallel to the tangent of the circle at A Select the answer using the code given below :

Explanation

Since AC bisects \angle C, arc AB = arc AD, meaning chord AB = chord AD. In \Delta ABD, AB = AD implies \angle ABD = \angle ADB (I is correct). By Alternate Segment Theorem, angle between tangent at A and AB equals \angle ACB. Since \angle ACB = \angle ADB, alternate interior angles are equal, making the tangent parallel to BD (II is correct).

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