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It they weren't equal is wouldn't make a tessellation.

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12y ago

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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.


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.


The sum of the measures of the interior angles of a heptagon?

The sum of the measures of the interior angles of a heptagon is 900 degrees.


Find the sum of the measures of the interior angles of a 13gon?

find the sum of the measures of the interior angles of 13-gon.


What is the measures of each interior angle of a regular octagon?

135 Each interior angle of a regular octagon measures 135 degrees.


What is the sum of the measures of the interior angles of a rhombus?

The sum of the interior angles is 360.


What is the exterior and interior angles of a regular 20-gon?

Exterior angle measures 18 degrees Interior angle measures 162 degrees


What is the measure of one interior angle of a regular 12 gon?

Each interior angles measures 150 degrees


The sum of the measures of the interior angles of a regular polygon is 1800 what is the measure of each interior angle?

The polygon will have 12 equal sides and each interior angle measures 150 degrees.


The interior measures of a triangle?

180 degrees


What is the number of sides of a re gular polygon if one interior angle measures 108?

A polygon with interior angle measures of 108 would be a pentagon


What is the measure of an interior angle of a regular dodecagon?

Each interior angle measures 150 degrees Each exterior angle measures 30 degrees