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What is the sum of the angle measures at each vertex of a tessellation?
Wiki User
∙ 12y ago
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.
Wiki User
∙ 12y ago
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What is each side of an angle?
each side of a angle is a vertex * * * * * No, the point where the sides meet is the vertex. The sides themselves are ... just sides.
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.
What is the formula to find the sum of the measures of the exterior angles one at each vertex of a polygon?
If it's a regular polygon: 360/number of sides = each exterior angle
What does the Polygon Exterior Angle Sum Theorem say?
Theorem 6-1-2; Polygon Exterior Angle Sum Theorem:The sum of the exterior angle measures, one angle at each vertex, of a convex polygon is 360 degrees.
What is the measure of the vertex angle of an isosceles triangle if the base angles measure 56 degrees?
If each base angle is 56°, then the vertex angle is 68°.If both base angles combined total 56°, then the vertex angle is 124°.
What is the measurement of the vertex angle of an isosceles triangle is the measure of one of its base angle is 42?
The vertex angle of an isosceles triangle is equal to the measure of each of its base angles. Therefore, if one of the base angles measures 42 degrees, then the vertex angle also measures 42 degrees.
What is the measure of a base angle of an isosceles triangle if the vertex angle measures 38 and each of the two congruent sides measures 21 units?
Each of the base angles measure 71 degrees
What are the measures of the Base angles of an isosceles triangle whose vertex angle has measure of 55?
Each base angle is 62.5 degrees
What is the measure of a base angle of an isosceles triangle if its vertex angle measures 50?
Its 2 equal base angles will each measure 65 degrees
Does every angle have a vertex?
Every angle has a vertex. A vertex is simply the line through the center of each angle. The line splits the angle exactly in half.
What is formed at each vertex of the polygon?
An angle is formed at each vertex of a polygon.
Why cant a regular heptagon be used to create a regular tessellation?
Each interior angle of a regular heptagon measures 900/7 degrees.The interior angles of all polygons meeting at a point must sum to 360 degrees. But that would require 360 / (900/7) = 2.8 - that is you would require 2.8 regular heptagons to meet at each vertex. Since it is not possible to have a fraction of a heptagon. the tessellation required by the question is impossible.
What is each side of an angle?
each side of a angle is a vertex * * * * * No, the point where the sides meet is the vertex. The sides themselves are ... just sides.
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.
What is the formula to find the sum of the measures of the exterior angles one at each vertex of a polygon?
If it's a regular polygon: 360/number of sides = each exterior angle
What is the measures of each angle on a dodecogon?
the measures of each angle in a dodecogon is 360
What is measure of vertex angle in a golden triangle?
If you mean the golden rectangle then each of its 4 interior angles measures 90 degrees but if you mean an equilateral triangle then each of its 3 interior angles measures 60 degrees
