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because if it has more than three obtuse angles than its not a quadrilateral.

This is because a quadrilateral has 360 degrees, right? Well an obtuse angle is an angle greater than 90 degrees. That being said the smallest obtuse angle you can have is 91 degrees. If you have four obtuse angles, then the sum of them is greater than 360 (ex: 91+91+91+91=364) and it's geometrically impossible to draw a quadrilateral with 4 obtuse angles.

Three obtuse angles are possible if the fourth is acute(less then 90 degrees) and they all add up to 360.

-skerr7464

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14y ago

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Q: Why can't a quadrilateral have more than three obtuse angle?
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