An obtuse triangle.
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If the polygon is regular, the measure of one interior angle of a 24 side polygon is 165 degrees.
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The equation for one interior angle of an n-sided polygon is (n-2)180/n. In this case we have a 6 sided polygon. If we plug n=6 into the equation we get: (6-2)180/6 =4x30 =120. Thus 1 interior angle of a 6 sided shape would be 120 degrees.
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.