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Pick a point around the center of the polygon. Join each vertex to this point. You will now have 10 triangles. The total angle of these 10 triangles is 10x180 degrees. Now you need to subtract the angles of the ten triangles at the center (which is 360 degrees). Therefore total internal angles is (10x180)-360 = 1800-360 which is 1440 degrees.

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Q: What is the sum of the angle measurement of a decagon?
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Related questions

What is the sum of one angle for a decagon?

36


What is the measurement of one angle on a decagon?

Each interior angle of a regular 10 sided decagon measures 144 degrees


What degree angle do you cut your wood to make a decagon?

Any angle that you like. There are no constraints on a single angle of a decagon, only on their sum.


What is the measurement of a regular exterior decagon?

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


What is the angle sum of a degagon?

The interior angles of a decagon sum to 8*180 = 1440 degrees.


Measure of interior angle of decagon?

If it's a regular 10 sided decagon then each interior angle is 144 degrees which gives it a total sum of 1440 degrees


What is the measurement of one angle of a decagon?

An exterior angle of a regular polygon with n sides is 360/n degrees. So in the case of a decagon that would be 36 degrees. The interior angle is its supplement so 180 - 36 = 144 degrees. Furthermore, a non-regular decagon could have an interior angle with any value in the range (0, 360) degrees. The only constraint is that the sum of all ten interior angles is 1440 degrees.


To the nearest degree what is the measurement of each exterior angle of a regular decagon?

36 degrees


What does angle sum mean?

It means the sum of the angles measurement.


Each interior angle of a regular decagon?

Sum of the interior angles of a decagon = 180*(10-2) = 180*8 = 1440 degrees. Since each interior angle of a regular polygon has the same measure, each angle of the decagon = 1440/10 = 144 degrees.


How many vertices and angle does decagon have?

A vertex is the same as an angle. A decagon has 10.A vertex is the same as an angle. A decagon has 10.A vertex is the same as an angle. A decagon has 10.A vertex is the same as an angle. A decagon has 10.


What is the size of each interior angle of a regular decagon?

A ten-sided polygon. The sum of the angles of a decagon is 1440°. so 1440°÷10=144° ---------------------------------------------------------------------------- The easiest way to calculate this is to calculate the exterior angle and use the fact that the exterior and interior angles are supplementary. Sum exterior angles = 360° → Each exterior angle of a regular decagon is 360° ÷ 10 → Each interior angle of a regular decagon = 180° - 360° ÷ 10 = 144°