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Each interior angle of a decagon is 144 degrees.

An exterior angle is 180 - measure of interior angle.

There exterior angle of decagon is 180-144

which is equal to-

36

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2011-02-26 22:16:46
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Q: What is the measure of one exterior angle of a decagon?
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What is the measure of an exterior angle of a regular decagon?

36 degrees.Exterior angles always add up to 360. So 360 divided by 10 is 36. Which means 36 is the measure of one exterior angle.360/10 = 36 degrees


What is the measure of one angle of a regular decagon?

144


What is the measure of one exterior angle of a regular decagon?

36oFor all polygons, the sum of the exterior angles is 360o.For a regular polygon they are all the same thus:exterior_angle = 360o ÷ number_of_sidesSo for a decagon with 10 sides this becomes:exterior_angle = 360o ÷ 10= 36oIt is 36 degrees


How many degrees does one angle in a decagon measure?

Interior angle: 144 degrees


What is the sum of a polygon's interior angle measure if one exterior angle of a regular polygon measures thirty-six degrees?

Number of sides = 360/ exterior angle = 360/36 = 10 decagon interior angles total (20 - 4) x 90 ie 1440o


What is the exterior angle of a hexagon?

what are the exterior Angles of a hexagon, heptagon, octagon, decagon and an icosagon ?If all the exterior angles of a hexagon or any polygon equal 360, then just divide by the number of vertices and there's one exterior angle of the polygon.


What would the measure of one exterior angle of a regular hexagon?

360/6 = an exterior angle of 60 degrees


What is the measure of one interior angle of a regular decagon?

Each interior angle measures 144 degrees


If one exterior angle of a polygon measures 36 degrees what is the sum of the polygons exterior angles?

The sum of the exterior angles in any polygon is 360 degrees.Therefore that polygon is a decagon.


How many sides does a regular polygon have if one interior angle is 144?

It is a decagon (10 sides) because if the interior angle is 144° then the exterior is 36°. 360 Divided by 36 is 10 and so it is a decagon.


What is the measures of one exterior angle of a regular 18-gon?

The measure of one exterior angle of a regular 18-gon is 20°. The sum of all exterior angles of a regular polygon is always 360° so the measure of each exterior angle can be calculated by dividing 360° by the number of sides. In this case that would be: 360° 18 = 20°Therefore the measure of one exterior angle of a regular 18-gon is 20°.


How many sides does an equiangular polygon have if the measure of an angle of the polygon exceeds four times the measure of one of it's exterior angles by 30?

Interior angle + Exterior angle = 180 So Interior angle = 180 - Exterior angle Interior angle = 4*Exterior angle + 30 Substitute for Interior angle: 180 - Exterior angle = 4*Exterior angle + 30 Collect like terms: 150 = 5*Exterior angle Divide by 5: Exterior angle = 30 deg Therefore number of sides = 360/30 = 12

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