Well the list will go on forever but an obtuse angle is an angle bigger than 90 degrees!
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The most notable is a triangle, but every polygon can have an obtuse angle. An obtuse angle is anything measuring greater than 90 degrees.
Some examples are: circle, square, rectangle, right angle triangle, equilateral triangle
A trapezoid and a rhombus are examples of shapes with more than one obtuse angle.
any triangle can contain at most 1 obtuse angle. it is called an obtuse triangle.
Not sure what the question means. A triangle or quadrilateral may but need not contain an obtuse angle. A pentagon or any polygon with more sides must contain at least one obtuse angle.