Any closed shape can have angles greater than 90 degrees.
A triangle doesn't need to have any, but it can have one of them if it wants to.
A shape with four sides doesn't need to have any, but it can have 2 or 3 of them
if it wants to.
Shapes with more than 4 sides must have some.
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obtuse angles
Acute angles are greater than zero and less than 90 degrees. Right angles are exactly 90 degrees. Obtuse angles are greater than 90 and less than 180 degrees.
angles greater than 180 degrees but smaller than 360 degrees are called reversed angles
The sum of all the interior angles of a quadrilateral is 360 degrees. If it had more than three obtuse angles, then it would have all four angles greater than 90 degrees so that their sum would be greater than 360 degrees.
A convex polygon.