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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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Q: What is the measure of one exterior angle of a decagon?

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Hexagon has 6 sides so 360/6 = 60 degrees interior angle therefore exterior angle = 360 - 60 = 300 degrees

Each interior angle measures: 152o 18' 27.69''

if the interior angle is 150 the exterior angle equals 30. since exterior angle equals 360/ by number of sides the number of sides equals 360/30 which equal 12

Sum of exterior angles = 360 degrees. If each one is 15 degrees then there must be 360/15 = 24 of them.

If the exterior angle is 30o then the shape has 360/30 = 12 sides. An interior angle = 180 - exterior angle = 180 - 30 = 150. Since the shape has 12 sides the interior angles sum to 150 x 12 = 1800o.

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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

144

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

Interior angle: 144 degrees

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

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.

360/6 = an exterior angle of 60 degrees

Each interior angle measures 144 degrees

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

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.

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°.

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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