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Yes. Regular or irregular, the angles at vertices must sum to 360 deg otherwise you will have gaps in the tessellation.
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∙ 12y ago
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What is the sum of the angles at any vertex in a tessellation?
It is 360 degrees.
Why does a tessellation have to add up to 360 degrees?
The angles at any point is space add to 360 degrees. So, at any vertex in a tessellation, the angles of the vertices meeting there must sum to 360 degrees.
In a tessellation the angles of the regular polygons around a given vertex what do they always add up to?
They add to 360 degrees.
Why is it that in a tessellation all of the angles that touch a given point must add up to 360 degrees?
The total angles around a point is 360 degrees. Since there can be no gaps or angles, all of the angles meeting at any vertex must sum to 360 degrees.
Why will a equilateral triangle tessellate?
Each angle in an equilateral triangle is 60 degrees. In order to create a regular tessellation of an area, we need for the angles of the polygons we are putting near each other to sum to 360 degrees. If you place six equilateral triangles so that all of them share a vertex, and each triangle is adjacent to two others, you get 60*6 = 360 degrees in that vertex. Please see related link for a demo of a triangular tessellation.
Is a circle 360 degress?
Yes it is.
What is the measurement of a quadrangle?
360 degress
How many degress in a cirlce?
360
What is 60 degress of 360 in fraction?
It is 60/360, which can be simplified, if required.
How many degress are in a quadrilateral?
360 degrees
What is the sum of the angle measures at each vertex of a tessellation?
It's all based on what you tesselate. If 360 degrees makes a full circle or rotation, then you know that for every vertex intersecting it is 360 divided by the quantity of vertexes. For example, if we had a tesselation of only triangles, we would have 6 vertexes. We know this because it takes 6 equilateral triangles to make a hexagon. So, we simply do 360, which are the degrees we have to go around, divided by 6, the total vertices (the plural of vertex), we would get 60. We know this is true because the sum of the degrees in all vertices in a triangle HAS to be 180.
Because the figures in a tessellation do not overlap or leave gaps the sum of the measures of the angles around any vertex must be?
360 degrees, but this assumes that there are any angles. There need not be any angles - as illustrated by MC Escher in his set of Symmetry artwork.
