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The sum of all the interior angles of a quadrilateral is 360 degrees.

If it had more than three obtuse angles, then it would have all four angles greater than 90 degrees so that their sum would be greater than 360 degrees.

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Q: Why can't a quadrilateral have no more than three obtuse angles?
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Related questions

How many obtuse angles can a quadrilateral have?

3 you cant draw one with four


Why cant a triangle have more than 1 obtuse angles?

Because the 3 interior angles of any triangle always add up to 180 degrees. And so it follows that 2 obtuse angles would add up to over 180 degrees.


Why cant you have two obtuse angles in a triangle?

Angle sum property of a triangle states that the sum of angles in any triangle should be 180 degree. An angle greater than 90 degree is an obtuse angle. If we have 2 obtuse angles in a triangle, say, 95 degree, 100 degree & 50, it always tend to violate the angle sum property of the triangle. So we cannot have 2 obtuse angles in a triangle.


Can a quadrilateral have 4 angles with a different measure?

No. It can so on your paper you cant put it cant have 4 angels with a different measure


Why cant a quadrilateral have exactly 3 right angles?

A quadrilateral can only have either 2 right angles or four. As you may (or may not) know, the angles in a quadrilateral must add up to 360 degrees. If you have 3 right angles that adds up to 270 degrees, so the last side must also be 90 degrees.


Why cant there be a obtuse angle in a right triagle?

A triangles angles must add up to 180 degrees, no more or less


Is a right triangle an obtuse angle?

Certainly not, if you measure a right angled triangle the it comes to 90 degrees you only get an obtuse angle if you have OVER 90 degrees.


Why cant two obtuse angles make a lineir pair?

The sum of the measures of a linear (not lieir!) pair is exactly 180 degrees. Each obtuse angle is greater than 90 degrees so the sum of two must be greater than 180 degrees.


Is a right triangle congruent to an obtuse triangle?

no it cant be...


Can an obtuse triangle be an right triangle?

No an obtuse triangle cant be a right angle because,a right angle is 90 degrees. a obtuse triangle is over 90 degrees


Can a quadrilateral be curved?

no, a quadrilateral cant be curved because it is a closed STRAIGHT sided figure with four sides...


Why cant triangles have reflex angles?

The three interior angles of every triangle add up to 180 degrees, so none of them can be greater than 180 degrees.