3. Given an isosceles triangle \(ABC\) with base \(BC\). On the extension of side \(AC\) beyond point \(C\), point \(K\) is marked, and a circle is inscribed in triangle \(ABK\) with center at point \(I\). A circle passing through points \(B\) and \(I\) is tangent to line \(AB\) at point \(B\). This circle intersects segment \(BK\) again at point \(L\). Find the angle between lines \(IK\) and \(CL\). Answer: \(90^{\circ}\).

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