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What are the two main properties of similar of polygons?
Their sides are proportional and their interior angles are the same
What is the maximum number of sides a polygon can have if each interior angle is obtuse?
Any number of sides of 5 and above because all interior angles of regular polygons in this category will have obtuse interior angles.
How many sides does a polygon have with angles of 12 degrees?
Any polygon can have two interior angles of 12 degrees. No polygon can have all its interior angles of 12 degrees.
What if the sum of the interior angles of a polygon is 900 how many sides does it have?
If the sum of the interior angles = 900 degrees, then it is a Heptagon and has seven sides. =] -ray
What is a true statement about polygons?
A true statement about polygons is that they are closed geometric figures made up of line segments connected end-to-end. Polygons have a specific number of sides, vertices (corners), and angles. The sum of the interior angles of a polygon can be calculated using the formula (n-2) * 180 degrees, where n is the number of sides. Additionally, polygons can be classified based on the number of sides they have, such as triangles (3 sides), quadrilaterals (4 sides), pentagons (5 sides), and so on.
What polygon has an interior angle of 900 degrees and how may sides does it have?
Polygons do not normally have interior angles of 180 degrees or more.
What polygons interior angles equal 8640 degrees?
A polygon with 50 sides, given the sum of all the interior angles in 8640.
What is the formulas to finding interior and exterior angles of regular polygons?
Interior Angles: n-2 (n is number of sides) ____ 180 Exterior angles are always 360 degrees.
How do you find the number of sides in an equiangular polygon given the measures of the interior angles?
Type your answer here... The sum of the angles in all polygons is 360 degrees. Thus, if you know the measure of the interior angles you can divide 360 by the measurement to find out how many interior angles and sides there are.
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.
Which regular polygons have interior angles of 150 degrees?
Regular polygons with interior angles of 150 degrees are dodecagons (12-sided polygons). The formula for the interior angle of a regular polygon is ((n-2) \times 180^\circ / n), where (n) is the number of sides. Setting this equal to 150 degrees and solving for (n) confirms that only the dodecagon meets this criterion. Thus, the only regular polygon with interior angles of 150 degrees is the regular dodecagon.
What are the diff. polygons and the sum of the interior angles of a polygon?
There are infinitely many polygons: they can n sides where n is any integer greater than 2.The sum of the interior angles of a polygon with n sides is (n - 2)*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.
In angles 110 degrees 40 degrees 30 degrees POLYGONS SHAPES?
Polygons are closed figures with straight sides, and their angles can vary. The angles mentioned—110 degrees, 40 degrees, and 30 degrees—could potentially be part of different polygons, but they do not form a single polygon since the sum of the interior angles must equal a specific value based on the number of sides. For example, a triangle has a total angle sum of 180 degrees, while a quadrilateral has 360 degrees. Thus, these angles could be found in various polygons but not together in one.
Which polygons have six interior angles?
The hexagon is the only one that has exactly 6.All polygons with 6 or more sides have at least 6 interior angles.
3 facts about regular polygons?
All sides are equal in lengthsEach interior angles are equal in sizeAll exterior angles add up to 360 degrees
Sum of interior angles of a polygon with 9 sides?
All polygons have an interior angle sum of 180(n-2) degrees where n is the number of sides. 180(9-2)=180*7=1260 degrees
