1. In triangle ABC AB=BC=4, angle ABC=30 degrees. On the outside of sides AB and BC, equilateral triangles ABD and BCF are constructed. Lines AF and CD intersect in point O. Find angles of the triangle AOC and distance between lines AC and DF.

2. Bisectors of angles A and B of parallelogram ABCD intersect in point K on the side CD. Perimeter of ABCD is 45, and difference of perimeters of triangles BCK and ADK is 3. Find sides of the parallelogram and lengths of segments AK and BK.

2. Bisectors of angles A and B of parallelogram ABCD intersect in point K on the side CD. Perimeter of ABCD is 45, and difference of perimeters of triangles BCK and ADK is 3. Find sides of the parallelogram and lengths of segments AK and BK.

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