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Can a regular heptagon whose angle measures total 900 degrees be used by itself to make a tessellation?
No, it cannot. I was doing my own tessellation project when I came across this question. In order for a polygon to tessellate, the sum of the angles surrounding one point must be 360 degrees (think of it this way, if you spin in a circle, you spin 360 degrees.) So, if a heptagon has a total angle measure of 900, each andgle is approx. 128.57 degrees. 128.57 cannot fit evenly into 360. Hence, a heptagon whose total angle measure is 900 cannot be used by itself to tessellate.
What else can I help you with?
How many degrees are in a regular heptagon?
900 overall
What is a shape with 7 sides and 7 angles?
A shape with 7 sides and 7 angles is called a heptagon. A heptagon is a polygon with seven straight sides and seven interior angles. Each interior angle of a regular heptagon measures 128.57 degrees.
What tessellation is formed by using regular polygons?
A regular tessellation or semi-regular tessellation or none.
What is the angle sum of the interior of a regular heptagon?
The 7 interior angles of a heptagon add up to 900 degrees
What is the measure of each interior angle of a regular heptagon?
It is 128.57 degrees (approx). 900/7 degrees, exactly.
What is the sum of the measures of the interior of a regular heptagon?
900 degrees, and the heptagon does not need to be regular.
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.
It's possible to create a regular tessellation with a regular heptagon?
false
What is the measures of one of the exterior angles of the regular heptagon round to the nearest whole number?
51 degrees
why cant a regular tessellation use only pentagons?
A regular tessellation is one that uses regular polygons. An interior angle of a regular pentagon measures 108 degrees. A full circle, 360 degrees, is not divisible by 108 degrees. Consequently, it is not possible to arrange a number of polygons so that they meet at a point without gap or overlap.
What is the angle measures in a regular heptagon?
Exterior angles add up to 360 degrees Interior angles add up to 900 degrees
How many interior angles in a heptagon?
A heptagon is a seven-sided polygon. It has seven interior angles. If it is a Regular polygon, each interior angle measures approximately 128.57 degrees, to a total of 900 degrees.
How many degrees are in a regular heptagon?
900 overall
Can a regular nonagon 1260 degrees be used by itself to make a tessellation?
No.
What is a shape with 7 sides and 7 angles?
A shape with 7 sides and 7 angles is called a heptagon. A heptagon is a polygon with seven straight sides and seven interior angles. Each interior angle of a regular heptagon measures 128.57 degrees.
What is the measure of each individual angle in a heptagon?
A heptagon has 7 sides and 7 angles. The sum of the interior angles is 900°. If the heptagon is a regular heptagon, meaning all sides and angles are congruent, then the formula (180(n-2))/ n gives the individual interior angle measure. "n" is the number of sides in this case. In a regular heptagon, the interior angle measures 128 4/7 degrees.
What tessellation is formed by using regular polygons?
A regular tessellation or semi-regular tessellation or none.
