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Is it possible to have a quadrilateral with 3 obtuse exterior angles?
No, it is not possible to have a quadrilateral with three obtuse exterior angles. The sum of the exterior angles of any polygon is always 360 degrees. If three exterior angles are obtuse (greater than 90 degrees), their combined measure would exceed 270 degrees, leaving less than 90 degrees for the fourth angle, which must be acute. Thus, a quadrilateral cannot have three obtuse exterior angles.
What is a four sided convex polygon?
It is a quadrilateral, all of whose angles are smaller than pi radians (180 degrees).
Is a concave quadrilateral less than 180 degrees?
The sum of the interior angles of a quadrilateral is 360 degrees (not 180). The sum of the exterior angles is also 360 degrees. Whether the quadrilateral is convex or concave is not relevant.
What polygon has one more vertex than a triangle?
A polygon with one more vertex than a triangle, which has three vertices, is a quadrilateral. A quadrilateral has four vertices and includes various shapes like squares, rectangles, and trapezoids. It is characterized by having four sides and four angles.
Can you draw a shape that has 4 sides and 3 angles less than a right angle?
No, a shape with four sides, known as a quadrilateral, cannot have three angles that are less than a right angle. In any quadrilateral, the sum of the interior angles must equal 360 degrees. If three angles are less than 90 degrees, the fourth angle would have to be greater than 180 degrees, which is not possible in a convex shape.
Is it possible to have a quadrilateral with 3 obtuse exterior angles?
No, it is not possible to have a quadrilateral with three obtuse exterior angles. The sum of the exterior angles of any polygon is always 360 degrees. If three exterior angles are obtuse (greater than 90 degrees), their combined measure would exceed 270 degrees, leaving less than 90 degrees for the fourth angle, which must be acute. Thus, a quadrilateral cannot have three obtuse exterior angles.
Which polygon has more than 3 sides and less than 7 sides?
A quadrilateral, pentagon or hexagon.
What is a four sided convex polygon?
It is a quadrilateral, all of whose angles are smaller than pi radians (180 degrees).
What is interior angles?
The angles between adjacent sides of a polygon that are interior to the polygon. If the polygon is convex, the interior angles are always less than 180 degrees. If it is concave, at least one interior angle will be greater than 180 degrees.
What polygon has more sides then a quadrilateral but less sides than a hexagon?
A quadrilateral has 4 sides anda hexagon has 6 sides. So the polygon between them is the one that has 5 sides. That is the pentagon.
What is the number of angles if the sum of the interiors angles are 40?
No polygon can have a sum of interior angles less than 180 degrees.
How are a polygon and a quadrilateral alike?
A polygon and a quadrilateral are alike because they both have more than three sides.
What polygon has no parallel sides and all acute angles?
A triangle having all angles less than 90 degrees is a polygon having no parallel sides and all acute angles.
Is a concave quadrilateral less than 180 degrees?
The sum of the interior angles of a quadrilateral is 360 degrees (not 180). The sum of the exterior angles is also 360 degrees. Whether the quadrilateral is convex or concave is not relevant.
What polygon has one more vertex than a triangle?
A polygon with one more vertex than a triangle, which has three vertices, is a quadrilateral. A quadrilateral has four vertices and includes various shapes like squares, rectangles, and trapezoids. It is characterized by having four sides and four angles.
What polygon has less than 90 degrees?
Assume you are referring to polygons with interior angle measuring less than 90°There are few shapes that have that measurement. They are:isosceles triangle with no obtuse and right anglesequilateral triangle
What shape has 3 sides and 2 angles?
No polygon can have less than 3 angles. It would be a triangle with 3 sides but that has 3 angles.
