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No, a trapezoid cannot have four obtuse angles. Since it is a quadrilateral, the sum of the angles must equal 360 degrees. To be considered obtuse, an angle must be greater than 90 degrees. If all four exceeded 90 degrees, the total would exceed 360.

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8y ago

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A trapezium has one pair of parallel sides. These imply that the angles where the parallel sides meet either of the other sides form a supplementary pair. That is, they sum to 180 degrees. In any pair of supplementary angles, if one is obtuse the other must be acute. So a trapezium can have at most two obtuse angles.

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Wiki User

9y ago
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no a trapezoid can't have 4 obtuse angles because it is a quadrillderal

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Wiki User

14y ago
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NO IT CAN NOT

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Anonymous

4y ago
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No,

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Anonymous

4y ago
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no

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Anonymous

4y ago
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Q: Can a trapezoid have four obtuse angles?
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