0
If the polygon is regular what is the size of each interior angle?
Wiki User
∙ 8y ago
this depends on what type of polygon it is.. if it is a regular triangle, then all interior angles measure up to 180 degrees. So, a triangles interior angles would measure 60 degrees each.
Wiki User
∙ 8y ago
Add your answer:
Earn +20 pts
Why can't some shapes tessellate?
A "tessellation" (also called a "tiling") of a plane region is a covering of that 2-dimensional region using shapes that don't overlap and don't leave any gaps uncovered. Typically, we are interested in trying to use shapes that are congruent (all the same size and shape) regular polygons (the angles and sides of each polygon are the same), such as an equilateral triangle, a square, a regular pentagon, etc. This is called a "regular tessellation". It has been shown that the only regular polygons that tessellate are equilateral triangles, squares, and hexagons. So for example, a regular pentagon can't be used to tile a floor, because the angles don't match up as needed and will leave gaps on the floor that would need a different shape to fill them in. Consider, for example, a regular octagon. Each interior angle is 135o. So if you put two octagons next to each other, sharing a common side, then the two interior angles would combine to be 270o. But that leaves only another 90o of the full 360o at the point the two edges meet and need another shape to complete the tiling, which is not enough room to squeeze in another octagon that would take up 135o. The 90o does allow enough room for a square, however, and in fact octagons and squares can be combined to tile a floor in what is called a "semiregular tessellation" (using more than one shape).
Is it possible for a polygon to have 83 diagonals?
If a polygon had 166 sides it would have 83 diagonals as each diagonal must join two vertices.
What shape can tessellate with a regular pentagon?
hexagons work because each angle is 120 degress, as you say, and 3 times 120 equals 360 degrees. So three hexagons will surround a point with no 'space" left over. but the interior angle of a pentagon is108 degrees. three pentagons together only fill up 3 time 108, or 324 degrees. There is space left over. But four pentagons would overlap. so 3 is not enough and 4 is too many. Pentagons cannot surround a point the way hexagons do.
How many sides of each face does a dodecahedron have?
A dodecahedron is a 12 side polyhedron. A regular dodecahedron has regular pentagons (5 sides) for each face.
How do you know that the value of each angle put into a trigonometric function results in exactly one output value?
The value of each angle put into a trigonometric function results in exactly one output value, because that angle represents a single set of x and y coordinates on the ray at the end of the unit circle. Since the trigonometric functions are all defined as the ratio of x and/or y and/or 1, there can only be one output value for each angle. However, the reverse is not true. As an example, tangent is defined as sine over cosine, or y over x. This means that an angle of theta plus 180 degrees generates the same value, because y over x is the same as -y over -x.
How do you measure sides of a regular polygon if each interior angle is 120?
A regular polygon with each interior angle measuring 120 degrees is a hexagon.
What is the measure of each interior angle of a fifteen sided regular polygon?
The measure of each interior angle of a fifteen sided regular polygon, a pendedecagon, is 156o.
What is the interior and exterior angle of a regular polygon?
Each exterior angle of a regular polygon with n sides is 360/n degrees. Each interior angle of a regular polygon is 180 - Exterior angle. A direct formula for the interior angle is 180*(n-2)/n degrees.
What is the measure of each interior angle of a 18 sided regular polygon?
The interior angle of an octdecagon, an 18 sided regular polygon, is 160o.
What is the size of each interior angle of a 12 sided polygon?
If it is a regular 12 sided polygon then each interior angle is 150 degrees.
Work out the number of sides of a regular polygon with the interior angle of 178?
If each interior angle is 178 degrees then the regular polygon will have 180 sides.
What degrees is each interior angle of a 38 sided polygon?
Providing that it is a regular 38 sided polygon then each interior angle will measure: 170o31'34.74''
What is the measure of each interior angle of a 13 sided polygon?
Providing that it's a regular polygon each interior angle is: 1520 18' 27.69''
What is the interior angle of a 18 sided polygon?
Providing that it is a regular polygon then each interior angle will measure 160 degrees
What is the number of sides of a polygon with interior angle of 176?
If it is a regular polygon and each interior angle is 176 degrees then it will have 90 sides.
What is the interior angle of a 50-sided polygon?
The interior angle of a regular polygon with x sides is 180(x-2)/x. As a result, each angle of a regular 50-sided polygon is 172.8.
What is the sum of the interior angles of a regular polygon if each angle measures 20 degrees?
There is no regular polygon with an interior angle of 20o. If the interior angle is 120o then there are six sides and the sum of the angles is 720o.
