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What is the number of sides of a regular polygon if its sum of interior polygon is 5760?
It will have 34 sides
How many sides does a regular polygon have?
The number of sides a polygon has depends on the polygon. A triangle has three sides (tri=3). A rectangle (quadrilateral) has four sides (quad=4). A regular polygon can have any greater number of sides, without limit.
What is the rule for the number lines of symmetry of any regular polygon?
Number of lines of symmetry = Number of sides of the regular polygon
How many sides does a polygon have with interior angles of 45 degrees?
22/3 sides.-- The smallest possible number of sides for a polygon is 3, in a triangle.If the triangle is regular, then each interior angle is 60 degrees.-- The next polygon is the quadrilateral, with 4 sides. If the quadrilateralis regular, then each interior angle is 90 degrees.-- We can see that as the number of sides increases, the interior angles get bigger.-- So the triangle is the polygon with the smallest interior angles.And those are 60 degrees, so a polygon with all45-degree interior anglesisn't possible. Some of them could be, but never all.
If the measure of one interior angle of a regular polygon is 108 how many sides does the regular polygon have?
To find the number of sides of a regular polygon, you can use the formula: Number of sides = 360 degrees ÷ Measure of each interior angle. In this case, if one interior angle is 108 degrees, the regular polygon has 360 ÷ 108 = 3.33 sides. Since a polygon cannot have a fractional number of sides, we round down to the nearest whole number. Therefore, the regular polygon has 3 sides, which makes it an equilateral triangle.
