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If a regular polygon has exterior angles that measure 60 degrees how many sides does the polygon have?
Exterior angle 60 therefore interior angle at that point 180 - 60 = 120 Figure is a hexagon (Internal angles = 12 - 4 right angles or 720 degrees) ?All polygons have exterior angles that sum to 360 degrees. An exterior angle of a polygon is found by "extending" one of the sides and measuring the angle between that extension and the "next" side. As the polygon in question is regular and has exterior angles of 60 degrees, it has 360/60 sides, or 6 sides.
What is the measure of each interior angle of a irregular hexagon?
This cannot be answered without any given side lengths, since the interior angles of an irregular hexagon are different. Only the angles of a regular hexagon can be found without side lengths, and that is 120 degrees per angle.
What are reflex interior angles?
reflex interior angles are the angle bigger than 180'c found inside a shape.
What is the measure of one interior angle of a regular heptagon?
Answer: 128.57 degrees The measure of one angle in a REGULAR polygon can be found with the formula: ((n-2)x 180degrees)/n --> (7-2)x 180= 900degrees--> 900degrees/7= approx. 128.57 degrees. The polygon MUST be regular (i.e. all sides the same length and all angles the same measure
Can a exterior angle be found through the use of complementary angles?
false but You can find the measure of an exterior angle by using supplementary angles.
What kind of angles are found in a regular polygon?
5
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 distance from the vertex of a regular pyramid to the midpoint of an adage of the base?
The distance from the vertex of a regular pyramid to the midpoint of an edge of the base can be found using the Pythagorean theorem. If the height of the pyramid is ( h ) and the distance from the center of the base to the midpoint of an edge is ( d ), then the distance ( D ) from the vertex to the midpoint of the edge is given by ( D = \sqrt{h^2 + d^2} ). This applies to regular pyramids where the base is a regular polygon. The specific values of ( h ) and ( d ) depend on the dimensions of the pyramid and its base.
What is the interior sum of an octagon?
The sum of the interior angles of a regular polygon is found with the formula: (n-2)180. For a regular octagon with 8 sides, the sum of the interior angles would be: (8-2)180 = 1080 degrees. This only works for regular polygons whose sides and angles are congruent.
How many degree s are in a vertical angle?
Vertical angles are not a specific angle. It is the term used to describe two angles with a common vertex and are usually made up of the same lines. They are always congruent. A picture and more explanation can be found in the related link:
What polygon has 12 sides and 12 angles?
A polygon with 12 sides and 12 angles is called a dodecagon. In a regular dodecagon, all sides and angles are equal, and the sum of its interior angles is 1,440 degrees. Dodecagons can be found in various geometric contexts and are often studied in mathematics and architecture.
Does a pentagon have two right angles?
In a regular pentagon, there are no right angles. A regular pentagon is one that has 5 equal sides and 5 equal angles. The sum of the 5 angles is 540 degrees. This is found by subtracting 2 from the number of sides and multiplying by 180 degrees. For a regular pentagon the formula would be (5 - 2) * 180 = 540. This works for all polygons. Just replace the 5 with the number of side in the polygon. A good website to visit for this is http://regentsprep.org/Regents/math/poly/LPoly1.htm. A non-regular pentagon can have right angles. Home plate on a baseball field would be an example. Original Answer Nope, it has 5 angles of 72 degrees each.
What is a platonic solid and how many are there and what are their names?
A Platonic solid is the 3-D shape equivalent of a polygon: it is a three dimensional figure whose sides are congruent, regular polygons, with identical vertices. Unlike the 2-dimensional case (in which there are infinitely many polygons) there are only 5 Platonic solids: * The tetrahedron, which has 4 triangular sides. * The cube (or hexahedron), which has 6 square sides. * The octahedron, which has 8 triangular sides. * The dodecahedron, which has 12 pentagonal sides. * The icosahedron, which has 20 triangular sides. Here is how the 5 Platonic solids were found, and how we know there aren't any more: Think about the sum of the angles at a vertex (by the definition of a Platonic solid, all vertices are identical). In the plane, angles around a vertex add up to 360 degrees, but we don't want the vertex to lie flat - otherwise, we'd end up with a huge flat sheet instead of a polyhedron. We also want at least 3 polygons around a vertex, because otherwise the result will become a flat figure without volume. If the sides are triangles, we can have 3 triangles around a vertex (getting the tetrahedron), 4 triangles around a vertex (getting the octahedron), or 5 triangles around a vertex (getting the icosahedron). We can't have 6 or more, because then the sum of angles wouldn't be less than 360. If the sides are squares, we can have 3 squares around a vertex, getting the cube. 4 squares around a vertex would mean the sum of angles is 360, and 5 or more is even more impossible. Finally, we can take 3 pentagons around a vertex, getting the dodecahedron; more pentagons will give us an angle sum of over 360. We can't use any shapes with more than 6 sides, because their angles are larger and we can't even fit 3 around a vertex. Even 3 hexagons will give an angle sum of 360 degrees, and anything more than that is even worse.
What kind of angles are found in a polygon with 9 angles?
Obtuse angles.
What are the angles of each side of a pentagon?
Each vertex of a regular pentagon has an angle of 108 degrees. For all regular polygons, the internal angle can be found using the following formula where n equals the number of sides: (n-2) x 180 / n = internal angle of the polygon In the case of the pentagon, n = 5, and n - 2 = 5 - 2 = 3, and 3 x 180 = 540, and 540 / n = 540 / 5 = 108 degrees.
What is a type of face found on a platonic solid?
A type of face found on a platonic solid is a regular polygon. Platonic solids are three-dimensional shapes with faces that are congruent regular polygons, and each vertex has the same configuration of faces. For example, a cube has square faces, while a tetrahedron has triangular faces. These regular polygons ensure that the solids have symmetrical properties and are highly structured.
What is a shape with 7 sides with pictures?
A heptagon is a polygon with seven sides and angles. Pictures of a regular heptagon can be found by clicking on the "Related links" below.
