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To elaborate, the smallest regular polygon, an equilateral triangle, has 60 degree interior angles. The next larger one, a square, has 90 degree interior angles. In fact, for any regular polygon, the interior angles measure 180*(n-2)/n degrees, where n is the number of sides. No polygon has less than 3 sides. Thus, no regular polygon can have interior angles less than 60 degrees.
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What shape has 45 degree interior angles?
There is no such regular polygon with 45 degree interior angles; the smallest interior angles in regular polygons are 60 degrees, which is found in a triangle.
What is the measure of one interior angle of a regular octagon?
The measure of the entire interior of a regular decagon is 1440 degrees. 1440 divided by 10 equals 135 degrees. Therefore, 135 degrees is your final answer.
What is the measure of each interior of a regular octagon?
45 degrees
Explain why regular polygons with more than 6 sides will not tessellate?
The tessellating polygons must meet at a point. At that point, the sum of the interior angles of the polygons must 360 degrees - the sum of angles around any point. Therefore, each interior angle must divide 360 evenly. The interior angles of regular polygons with 7 or more sides lie in the range (120, 180) degrees and so cannot divide 360.
Each interior angle measure of a regular octagon is?
Each interior angle measures 135 degrees
If the measure of one interior angle of a regular polygon is 90 degrees how many sides does the polygon have?
The only regular polygon with an interior angle of 90 degrees is the square, which has four sides. Other polygons can have an interior angle of 90 degrees, but they would not be regular polygons.
Which of these two regular polygons has the larger interior square or pentagon?
Each interior angle of a square is 90 degrees Each interior angle of a regular pentagon is 108 degrees
Is a concave polygon is regular?
By definition a regular polygon cannot be concave. Concave polygons contain one or more interior angles that are greater than 180 degrees, and regular polygons can never have an interior degree greater than 180 degrees.
Why will only three of the regular polygons tessellate the plane?
The tessellating polygons must meet at a point. At that point, the sum of the interior angles of the polygons must 360 degrees - the sum of angles around any point. Therefore, each interior angle must divide 360 evenly. There is no 1 or 2 sided polygon. The interior angle of a regular pentagon is 108 degrees which does not divide 360 degrees. The interior angles of regular polygons with 7 or more sides lie in the range (120, 180) degrees and so cannot divide 360.That leaves regular polygons with 3, 4 or 6 sides.
What shape has 45 degree interior angles?
There is no such regular polygon with 45 degree interior angles; the smallest interior angles in regular polygons are 60 degrees, which is found in a triangle.
What is the measure of an interior angle of a regular polygon with 6 sides?
120See related link below for interior angles of various polygons.
Is there a rule to decide if a shape will tessellate?
For regular polygons, the interior angle must be a factor of 360 degrees.Irregular triangles and quadrilaterals (whose angle sums are factors of 360 degrees) will tessellate. For other polygons, I am not aware of any simple rule.For regular polygons, the interior angle must be a factor of 360 degrees.Irregular triangles and quadrilaterals (whose angle sums are factors of 360 degrees) will tessellate. For other polygons, I am not aware of any simple rule.For regular polygons, the interior angle must be a factor of 360 degrees.Irregular triangles and quadrilaterals (whose angle sums are factors of 360 degrees) will tessellate. For other polygons, I am not aware of any simple rule.For regular polygons, the interior angle must be a factor of 360 degrees.Irregular triangles and quadrilaterals (whose angle sums are factors of 360 degrees) will tessellate. For other polygons, I am not aware of any simple rule.
Which polygons cannot be used to form a regular tesselation?
Most regular polygons will not tessellate but if their interior angles is a factor of 360 degrees then they will tessellate or if their angles around a point add up to 360 degrees then they also will tessellate.
Will all polygons tessellate?
No because only polygons whose interior angles are a factor of 360 will tessellate. For instance a regular pentagon will not tessellate because its interior angle is 108 degrees but a hexagon will tessellate because its interior angle is 120 degrees which is a factor of 360.
What is the measure of an angle of a regular octagon?
An interior angle of a regular octagon is 45 degrees. The exterior angles measure 315 degrees.
What is the measure of one interior angle of a regular octagon?
The measure of the entire interior of a regular decagon is 1440 degrees. 1440 divided by 10 equals 135 degrees. Therefore, 135 degrees is your final answer.
What is the measure of each interior of a regular octagon?
45 degrees
