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For any quadrilateral (i.e. 4-sided figure), the angles will add up to 360 degrees. Since an obtuse angle is any angle with a measurement over 90 degrees, it is possible to have a quadrilateral with 3 obtuse angles. The fourth angle, however, must be acute (i.e. smaller than 90 degrees).

Having 3 obtuse angles is not a requirement, however, for a quadrilateral.

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