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Why is it not possible to have 3 right angles in a quadrilateral?
Wiki User
∙ 12y ago
Yes and no.
By definition, a quadrilateral is a closed figure with 4 sides. So any square or rectangle will answer your question.
However a polygon with 4 sides which are unequal in length will not have 3 right angles.
Wiki User
∙ 12y ago
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Can you draw a quadrilateral that has three right angles?
The sum of the interior angles of a quadrilateral is 360 degrees. If three of the angles are right angles, that is, of 90 degrees each, the the fourth must be 90 degrees. So you can have a quadrilateral with three right angles but its fourth angle will also be a right angle. So exactly 3 right angles is not possible.
Does a quadrilateral have exactly 3 congruent angles?
A quadrilateral is ANY closed figure with 4 sides. Therefore, it also has 4 angles - any of which may, or may not, be congruent. About the only general statement about angles that applies to all quadrilaterals is that the sum of the angles is 360 degrees. By the way, it is possible for a quadrilateral to have 3 congruent angles, and the fourth angle not be congruent with the other 3.
Maximum obtuse angles in quadrilateral?
There can be at most 3 obtuse angles in a quadrilateral.
Does a quadrilateral always have 3 congruent angles?
No. Very few of them do.
How do you find the missing degree in a quadrilateral?
well for any quadrilateral you would need 3 other angles, then you would add them up, and then subtract from the total you get out of 360(the number that all quadrilateral angles add up to).
Is it possible to have a quadrilateral with 0 pairs of parallel sides and 3 right angles?
NO
Can you draw a quadrilateral that has three right angles?
The sum of the interior angles of a quadrilateral is 360 degrees. If three of the angles are right angles, that is, of 90 degrees each, the the fourth must be 90 degrees. So you can have a quadrilateral with three right angles but its fourth angle will also be a right angle. So exactly 3 right angles is not possible.
Can a quadrilateral have 3 obtuse angles and 1 right angle?
No a quadrilateral can't have 3 obtuse angles and 1 right angle because if a polygon did have 3 obtuse angles and 1 right angle then it would not even be a quadrilateral.
Can a quadrilateral be made with 3 acute angles and 1 right angle?
Not possible... The internal angles of a quadrilateral always total 360. If you MUST have an angle of 90 degrees - the remaining angles must total 270. At least one of the remaining angles will always be obtuse.
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.
What does a trapezoid with three right angles look like?
A trapezoid can't have three right angles. A quadrilateral with three right angles must have a total of four right angles, since a quadrilateral's interior angles add up to 360. 360 - (3*90) = 90, so the fourth angle would have to be right as well. A quadrilateral with four right angles is not a trapezoid; instead it is a rectangle or a square.
How many right angles can a quadrilateral have?
a quadrilateral can have from 0 to 4 right angles. But it can't have exactly three right angles. The interior angles of a quadrilateral sum to 360 degrees. If it had three right angles and x were the measure of the fourth angle: 3*90+x=360 x=360-270=90 So if it has three right angles, the fourth angle would be a right angle as well.
Is it possible to have a quadrilateral with 3 acute angles?
Yes a kite can. See related link.
What is a quadrilateral with 3 acute angles 1 right angle?
Non Euclidean.
Can you draw a quadrilateral with 3 right angels?
The sum of the interior angles of a quadrilateral is 360 degrees so if 3 of them are right angles (90 °) the remaining fourth angle must also be 90 °. 360° - 3x90° = 90°
What polygon does not have right angles but is a quadrangle?
Quadrangle isn't a polygon. Quadrilaterals are polygons. One's with possibilities of no right angles include: Kite Parallelogram Rhombus Complex Quadrilateral Simple Quadrilateral Concave Quadrilateral Convex Quadrilateral Tangential Quadrilateral Cyclic Quadrilateral Bicentric Quadrilateral Trapezium Isosceles Trapezium 3-Sided-Equal Trapezium
Does a quadrilateral have exactly 3 congruent angles?
A quadrilateral is ANY closed figure with 4 sides. Therefore, it also has 4 angles - any of which may, or may not, be congruent. About the only general statement about angles that applies to all quadrilaterals is that the sum of the angles is 360 degrees. By the way, it is possible for a quadrilateral to have 3 congruent angles, and the fourth angle not be congruent with the other 3.
