# Can A Trapezoid Have 4 Obtuse Angles? Explain.

## 5 Answers

Oddman answered
A trapezoid is a quadrilateral. The sum of the interior angles of a quadrilateral is 360°. Four angles whose measure is greater than 90° will sum to a number that is greater than 360°. So, no quadrilateral (including a trapezoid) can have four obtuse angles.
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Brooke Mundy answered
No that would be impossible.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.
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Zhu Yugang answered
No,it can't.It has two sides which is parallel,the sum of the two Angles are 180 degree,so all the Angles are Obtuse Angle is impossible.
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Simon Templar answered
A trapezoid is a quadrilateral with two parallel sides.

Depending upon whether you're dealing with an Euclidean geometry, would dictate whether your scenario were possible.  In flat-surface, or Euclidean geometry, the sum of the four angles in a trapezoid are 360.  In non-flat-surface, or non-Euclidean geometry, you have curved space, upon which interesting angular relationships show up.  And it would have to be in a non-Euclidean situation for there to be more than two obtuse angles in a trapezoid.

You are likely not taking a non-Euclidean geometry class.  So, for you, the answer would be: No.
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Anonymous answered
True or false? A quadrilateral can have more than two obtuse interior angles.
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