A point 'O' inside the hexagon ABCDEF is joined to its vertices and those line are extended '1_22^1' xx. Their ends are joined to make another hexagon PQRSTU.
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i) Prove that the angles of the two hexagons are same.
ii) Prove that the length of sides of the bigger hexagon is '1 12' times the length. of sides of the smaller hexagon.