0
What else can I help you with?
Are same side interior angles congruent?
Same-side interior angles are supplementary. They are not always congruent, but in a regular polygon adjacent angles are congruent.
What is the difference between a regular polygon and polygon -?
A regular polygon has equal sides and same sizes of interior angles whereas an irregular polygon has sides of different lengths and different sizes of interior angles
Is A Convex Polygon That Has More Than Four Sides And That Has Congruent Interior Angles Is A Regular Polygon?
Not necessarily.The polygon does not need t have more than 4 sides.All its sides need to be congruent.For example, consider a hexagon with all equal angles. If you could take hold of two opposite vertices and pull them apart you would get al elongated hexagon. All its interior angles would be equal but not the sides. It is, therefore, not regular - for much the same reason that a square is but a rectangle is not.
If the sum of the interior angles of a polygon equals 1080 degree's what is the measure of each interior angle of the polygon?
Sum of interior angles = (n-2)*180 degrees = 1080 deg So (n-2) = 1080/180 = 6 => n = 8. The polygon is, therefore, an octagon. However, there is no reason to assume that the interior angles of this polygon are all the same - they could all be different with the only constraint being their sum. IF, and that is a big if, the polygon were regular, then all its angles would be equal and each interior angle = 1080/8 = 135 degrees.
Could a regular polygon have interior angles of 165.6?
Oh, dude, a regular polygon? That's like a shape where all the sides and angles are the same. So, if you want the interior angles to be 165.6 degrees, you can calculate it by dividing 360 (the total degrees in a circle) by the number of sides in the polygon. If you do the math and find a whole number of sides that gives you 165.6 degrees, then sure, you can have a regular polygon with interior angles of 165.6.
Is the sum of the interior angles of a convex polygon the same as a non-convex polygon?
No. In a convex polygon the sum of the interior angles is (n-2)*180 deg where n is the number of interior angles. In a non-convex polygon this is not necessarily true.
How many curved edges in convex polygon?
None.A polygon is made up of straight line edges between its vertices. There are the same number of edges as vertices in a polygon.In the case of a polygon, it is convex if all interior angles are less than 180o.
Are same side interior angles congruent?
Same-side interior angles are supplementary. They are not always congruent, but in a regular polygon adjacent angles are congruent.
What is the difference between a regular polygon and polygon -?
A regular polygon has equal sides and same sizes of interior angles whereas an irregular polygon has sides of different lengths and different sizes of interior angles
Why can't a concave quadrilateral be regular?
By definition, a regular polygon has all interior angles the same, but a concave polygon has some interior angles that are not identical. Also, it violates the axiom that all vertices lie on a circle.While it is possible to construct a polygon with equilateral sides, to be concave would require a form that is equally convex and laterally opposite. (An example is a 'solid arrow shape.')
How many vertices?
A polygon has the same quantity of vertices as it has interior angles.
Polygon what is it?
Triangles, rectangles and octagons are all examples of a polygon. A polygon is a polygon whose sides are the same length and whose interior angles are the same measure
Each interior angle if a regular polygon measurses 172 degrees how many sides does the polygon have?
The easiest way to solve this is to use the exterior angles of the polygon. The sum of an exterior angle and interior angle is 180o. Also the sum of all the exterior angles of a polygon is 360o. As the polygon is regular, all the interior angles are the same and all the exterior angles are the same. So, for an interior angle of 172o the exterior angle is 180-172 = 8o. The sum of all the exterior angles is 360o so how many 8o make up 360o? 360/8=45. Thus the polygon with interior angles of 172o has 45 sides.
What are the similarities between regular polygon and a concave polygon?
A regular polygon is a special kind of convex polygon - one in which all the sides are of the same length and all the angles are equal. Convex and concave polygons form disjoint sets: so no concave polygon can be regular.
What polygon's interior angles add up to the same number of degrees as a straight angle?
A straight angle has 180 degrees. A triangle is a polygon whose interior angles add up to 180 degrees.
What do congruent polygons have the same of?
all sides and interior angles are equal with the other polygon
What does it mean or a polygon to be regular?
A regular polygon has all equal interior angles and all equal sides of the same length
