Which of the following statements is correct?The angle between two tangents to a circle may be $0^{\circ }$.If a transversal intersects two lines such that a pair of alternate interior angles is equal, then the two lines are parallel.The tangents at the end points of a diameter of a circle are perpendicular.

Let's verify the statements individually:Statement 1: False, tangents drawn from an external point to a circle form a positive acute or obtuse angle ($>0^{\circ }$). If they are parallel, they don't intersect, meaning there's no defined angle between them, or $0^{\circ }$ under asymptotic assumptions but geometric constraints consider non-overlapping distinct systems. Let's inspect Statement 2.Statement 2: Correct. This matches the fundamental converse of the alternate interior angles theorem in basic line geometry.Statement 3: False, the tangents drawn at the endpoints of a diameter are always parallel to each other, so the angle between them is $0^{\circ }$, not perpendicular ($90^{\circ }$).Thus, only statement 2 is correct.