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1. Three angles of a quadrilateral \(ABCD\) are equal. Is it a parallelogram? Why or why not?
 
2. Diagonals \(AC\) and \(BD\) of a quadrilateral \(ABCD\) intersect each other at \(O\) such that \(OA : OC = 3: 2\). Is \(ABCD\) a parallelogram? Why or why not?
 
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This is a self assessment task. Solve this question and assess the solution steps after the completion of test on your own.