answersLogoWhite

0


Best Answer

The interior angle and central angle are supplementary, that is they always add up to 180 degrees, while the exterior angle and the central angle will always be the same.

User Avatar

Wiki User

14y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: What is the relationship between the measure of a central angle of a polygon and the measures of an interior and an exterior angle of the polygon?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Continue Learning about Geometry

What is the difference between interior lines and exterior?

The difference between interior lines and exterior lines are thatInterior lines: Are the lines that are in the inside of the shape or whatever you are trying to find the interior of.Exterior Lines: Are the lines that are outside of the shape or whatever you are trying to find the exterior of.


What is the relationship between the measures of the rectangle and the measures of the trapezoid?

There need not be any relationship at all.


What are the interior and exterior angles in a regular polygon?

A polygon is a closed figure in the plane. It has an inside and an outside.The angles on the inside are the interior angles. An exterior angle is the angle between any side of the polygon and a line extended from the next side.Here is an example to help.If you draw an triangle, the angles inside it are interior angles. Then if you extend any side, the angle between that line and the next side is the exterior angle.The sum of the exteriors is always 360. For a polygon with n sides, the sum of the interior angles is 180 (n-2) degrees.


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 ratio of an equilateral triangle?

The answer to the question depends on what the ratio is between: side length and area, or lengths of base and height, or interior and exterior angles. But since you have not bothered to share that crucial bit of information, I cannot provide a more useful answer.

Related questions

What is the difference between the interior and exterior angles of a hexagon?

Providing that it is a regular hexagon then the each interior angle measures 120 degrees and each exterior angle measures 60 degrees


What is the relationship between the interior and exterior angles in polygons?

An interior angle and the corresponding exterior angle add up to a straight angle. that is, they are supplementary.


What is the relationship between exterior and opposite interior angles?

In a triangle, each exterior angle is equal to the sum of the two opposite interior angles.


What is the relationship between an interior and exterior angles?

The relationship is that they are supplementary angles because angles on a straight line add up to 180 degrees


What is the relationship between the interior and exterior angles of a polygon?

They both add up to 180 degrees when on a staight line.


What is the relationship between interior angles and the sum of the exterior angles of a given polygon?

There isn't one. The sum of the exterior angles is always 360 degrees, the sum of the interior angles varies depending on the number of sides.


What is the relationship between interior and exterior angles in triangles?

An interior angle of a triangle is the angle between two edges, measured inside the triangle. An exterior angle is formed by extending one of the edges outside the triangle, and measuring between that extension and the adjacent original side of the triangle. The sum of the interior angle and exterior angle at any given corner is always 1800 (which is Pi radians).


What is relationship between exterior angles and opposite interior angles of a triangle?

The exterior angle of a triangle is equal to the sum of the two opposite interior angles. So if a triangle had points A, B and C: The exterior angle at B would equal the sum of interior angles at A and C. Similarly, the exterior angle at C would equal the sum of interior angles at A and B And the the exterior angle at A would equal the sum of interior angles at C and B.


What is the difference between interior lines and exterior?

The difference between interior lines and exterior lines are thatInterior lines: Are the lines that are in the inside of the shape or whatever you are trying to find the interior of.Exterior Lines: Are the lines that are outside of the shape or whatever you are trying to find the exterior of.


What is the boundary between the interior and the exterior of the cell?

Plasma membrane


What is the boundary between the interior and exterior of the cell?

Plasma membrane


Exterior angle of a triangle?

Exterior Angle Theorem Exterior angle of a triangle An exterior angle of a triangle is the angle formed by a side of the triangle and the extension of an adjacent side. In other words, it is the angle that is formed when you extend one of the sides of the triangle to create a new line, and then measure the angle between that new line and the adjacent side of the original triangle. Each triangle has three exterior angles, one at each vertex of the triangle. The measure of each exterior angle is equal to the sum of the measures of the two interior angles that are not adjacent to it. This is known as the Exterior Angle Theorem. For example, in the triangle below, the exterior angle at vertex C is equal to the sum of the measures of angles A and B So, angle ACB (the exterior angle at vertex C) is equal to the sum of angles A and B. Recomended for you: 𝕨𝕨𝕨.𝕕𝕚𝕘𝕚𝕤𝕥𝕠𝕣𝕖𝟚𝟜.𝕔𝕠𝕞/𝕣𝕖𝕕𝕚𝕣/𝟛𝟚𝟝𝟞𝟝𝟠/ℂ𝕠𝕝𝕝𝕖𝕟ℂ𝕠𝕒𝕝/