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The external angles of a polygon total 360° .

Therefore each external angle of a regular decagon measures 360/10 = 36°

Therefore each INTERNAL angle measures 180 - 36 = 144°

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Q: How much is each angle measure in a regular decagon 10 sides?
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Related questions

How much is each angle measure in a regular decagon?

Decagon is a geometry term that refers to a polygon that has 10 sides and 10 angles. The angles of a decagon measure 144 degrees.


How many sides does a regular polygon have if the measure of an angle is 144?

A regular decagon, or 10-sided polygon, has interior angles of 144


Does a decagon have 10 sides?

Yes, 10 equivalent sides! * * * * * Not true: the sides need not be equivalent or equal. It is only in the case of a REGULAR decagon that all the sides have to be of the same length AN all the angle must be the same measure.


What is the exterior angle of a decagon?

Exterior Angle for a decagon is 36 Degrees.


How many sides does a regular polygon have if the measure of each interior amngle is 144?

It will have 10 sides and it is a regular decagon with each interior angle measuring 144 degrees


Abcdefghij is a regular decagon if sides CD and ab are extended to form angle k what is the measure of angle k?

The total degree measure in a decagon is 180(8) since a decagon can be broken up into 8 triangles. In a regular decagon, each angle has the same measure: 180(8)/10=18(8)=144. The supplementary angle, 36, is therefore the angle between the side bc and (each of) the two extended sides ab, CD outside of the decagon. The remaining angle, k, of the triangle thus formed is 180-2(36)=180-72=108. A sneaky way to get the same answer is to notice that if we extend every other side of the regular decagon, we get a (larger) regular pentagon. The angle k is one of these angles, so it is 108.


What is the regular angle of a regular decagon?

Well, a decagon is a 10-sided polygon. The equation for finding the measure of an interior angle of a regular polygon is this number: 180*(n-2) /n. (And in this instance, "n" stands for NUMBER of sides of a polygon.) So we can plug the numbers in: n=10 (because there are 10 sides of a decagon and "n" stands for # of sides)180*(10-2)-------------- (divided by) 10So your answer is 144 degrees. Hope that helped. :)


How many sides does the polygon have if the measure of each interior angle is 144?

It will have 10 sides and it is a decagon


How much is each angle in an decagon?

Providing it is a regular decagon of 10 sides then:- Each exterior angle: 36 degrees Each interior angle: 144 degrees


What is the measurement of a regular exterior decagon?

Each exterior angle 36 degrees Each interior angle 144 degrees A decagon has 10 sides


ABCDEFGHJK is a regular decagon sides AB and DE are extended so that they meet at point L in the exterior of the polygon find the measure of angle of angle BLD?

angle BLD is 72 degrees.


A regular decagon is inscribed in a circle find the measure of each minor arc?

To find the measure of each minor arc in a regular decagon inscribed in a circle, we first need to calculate the central angle of the decagon. Since a regular decagon has 10 sides, each interior angle is 144 degrees (180 * (10-2) / 10). The central angle of the decagon is twice the interior angle, so it is 288 degrees. Therefore, each minor arc in the regular decagon inscribed in the circle would measure 288 degrees.