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A concave quadrilateral

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Q: Is a kind of quadrilateral one of whose angles has an interior point which is not in the interior of the quadrilaterals?
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Related questions

What is the total interior angle of a point?

A point has no interior and so cannot have interior angles.


How do you construct a quadrilateral when its sides are given?

The lengths of the sides does not provide sufficient information to define a quadrilateral. This is because a quadrilateral can be flexed.For example, given the facts that the lengths are all the same, the quadrilateral could be a square or a rhombus.


Is interior angle angle sum?

No. An interior angle is one of many angles in the interior of a closed shape - usually a polygon. The angle sum is the sum of the values of a specified list of angles. They may be angles around a point, angles in one or more shapes.


Two angles with a common side but no common interior point?

line


Will a regular polygon tile?

There are only three regular polygons which with tile. These a re a triangle, quadrilateral (square) and hexagon.This is because if there are n tiles meeting at a point, then the sum of the angles around that point must be 360 degrees - otherwise the polygons will overlap. The only regular polygons with interior angles that are factors of 360 are the ones mentioned above.


Why do the interior angle in an equilateral triangle and the interior angle of a regular hexagon tessellate?

Because their angles are factors of 360 and angles around a point add up to 360 degrees


What does adjecant mean?

Angles that share a common end point and a common line segment but no common interior point (two angles that are next to each other)


Why do you subtract 2 from n to find the sum of interior angles?

This has to do with the way in which the sum of the angles is derived. First you select a point inside the polygon and then join that point to each of the vertices. For a polygon with n sides, this gives rise to n triangles. The sum of the 3 angles of any triangle is 180 degrees. So the sum of the angles of all the triangles is n*180 degrees. Now, the "outer" angles of these triangles correspond to the interior angles of the polygon. But the sum also includes the angles formed arounf the central point. The sum of all the angles around this central point is 360 degrees. This is not part of the sum of the interior angles of the polygon and so must be subtracted. Thus, the interior angles of a polygon sum to n*180 - 360 degrees or 180*(n- 2) degrees.


What does adjecent angle mean?

Angles that share a common end point and a common line segment but no common interior point (two angles that are next to each other)


What shape equals 360 degrees?

The exterior angles of polygons equal 360 degrees.


What do the angles at any point of triangle add up to?

The 3 interior angles of ant triangle add up to 180 degrees.


How many sides and vertices does a quadrilateral have?

A quadrilateral has 4 sides. It has no vertices as a quadrilateral is a two dimensional shape. * * * * * A vertex is a point where two or more lines (edges) meet. There is no requirement for the figure to be three dimensional. So the correct answer is that is has 4 vertices.