Q: Is the sum of interior angles of a convex polygon the same as a non convex polygon?

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Same-side interior angles are supplementary. They are not always congruent, but in a regular polygon adjacent angles are congruent.

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

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.

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.

A polygon has exactly as many sides as it has angles.

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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.

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.

Same-side interior angles are supplementary. They are not always congruent, but in a regular polygon adjacent angles are congruent.

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

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.')

A polygon has the same quantity of vertices as it has interior angles.

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

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.

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.

A straight angle has 180 degrees. A triangle is a polygon whose interior angles add up to 180 degrees.

all sides and interior angles are equal with the other polygon

A regular polygon has all equal interior angles and all equal sides of the same length