Oh, dude, you're asking me about shapes now? Alright, so a polygon that has at least one obtuse angle is just a fancy way of saying a shape with one angle that's more than 90 degrees. So, like, a triangle can totally have an obtuse angle if one of its angles is more open than a Kardashian's Instagram account.
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A polygon that has at least one obtuse angle is called a "quadrilateral." A quadrilateral is a polygon with four sides and four angles. One of the angles in a quadrilateral must be obtuse if at least one of its angles is greater than 90 degrees. Examples of quadrilaterals with obtuse angles include rectangles, parallelograms, and trapezoids.
Well, honey, any polygon with more than three sides can have at least one obtuse angle. So, we're talking about your sassy quadrilaterals, pentagons, hexagons, and beyond. Just remember, obtuse angles are like that one friend who always takes up too much space at the dinner table - they just can't help themselves.
A polygon with four or more sides can meet all of the requirements.
A hexagon has six angles. A regular hexagon has six angles and each one is equal in measure to 120 degrees. 120 degrees is an obtuse angle. Any regular polygon with at least 6 sides has at least 6 obtuse angles.
Any polygon with 5 sides or more or a trapezoid that doesn't have a right angle in it or a kite that is not a square.
If one angle is a right angle, it is a right triangle. If one angle is an obtuse angle, it is an obtuse triangle. If there are no right nor obtuse angle then it is an acute triangle.
A triangle containing an obtuse angle is an obtuse triangle.