Measure of Each Exterior Angle of a Regular Decagon

View the full answer. 102180o 1440o here n 10 because deca means 10 Each interior angle 144010 144o As we know that the sum of interior and exterior angles is 180o Exterior angle interior angle 180o Exterior angle 144o 180o Exterior angle 180o 144o 36o.

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. Measure of Each Exterior Angle of the Regular Polygon STUDY Flashcards Learn Write Spell Test PLAY Match Gravity Created by theawfulgatsby Terms in this set 11 Triangle 120 Square 90 Pentagon 72 Hexagon 60 Heptagon 52 Octagon 45 Nonagon 40 Decagon 36 Hendecagon 33 Dodecagon 30 n 360n Subjects Arts and Humanities Languages Math Science. At least two sides and angles are different in measurement. What is the value of x.

See the answer Show transcribed image text Expert Answer 100 1 rating. Irregular Decagon An irregular decagon does not have equal sides and angles. The answer is 36.

So for decagon that has 10 sides 36010 36 So each exterior angle is measured at 36 degrees. The sum of the exterior angles is 10 x 36 360 degrees. The measure of exterior all angles of a regular n-agon is 180.

What is the measure of a exterior angle of a decagon. Each exterior angle of a regular decagon has a measure of 3x 6. To get this you simply take 360 degrees the sum of all of the exterior angles and divide it by how many angles there are 10There is some confusion as to the definition of an exterior angle.

The sum of the interior angles of a polygon is equal to. So the sum of the exterior angles is 10 x 36 360. The exterior angle is defined as the angle between one side of a regular polygon and an imaginary line extended from a side.

What is the value of x. Exterior angle 360 n 360 10 36. All these sides and angles are equal to each other.

Now for the decagon which has 10 angles is 1801018. How do you find the exterior angle of a regular decagon. All sides are equal in length and all the angles are equal in the measure in a regular decagon.

The sum of the exterior angles is 10 x 36 360 degrees. Therefore on average each interior angle is 144 degrees and each exterior angle is 36 degrees. If its a regular decagon then each of the 10 exterior angles will measure 36 degrees.

The sum of interior angles of decagon is n2180o where n is number of sides of polygon. A decagon has 10 sides so its interior angles add up to 18010 - 360 1440 degrees. Each exterior angle 360 8 45.

A decagon has 10 sides. As the number of sides is 10 in a decagon. Part b The measure of each interior angle of a regular decagon is.

Therefore on average each interior angle is 144 degrees and each exterior angle is 36 degrees. Sum of all exterior angles of any regular polygon is 360. Salamat po ty po ty Advertisement Still have questions.

N is the number of sides of a polygon. This problem has been solved. Measure of each interior angle -.

The sum of all exterior angles of the regular decagon is 360. Therefore each exterior angle is equal to 36 360 10 36. A decagon has 10 sides so its interior angles add up to 180 10 360 1440 degrees.

Each exterior angle of a regular decagon has a measure of 3x 6. Therefore the measure of each exterior angle of a regular decagon is 36. Therefore on average each interior angle is 144 degrees and each exterior angle is 36 degrees.

How do you find the exterior angle of a decagon. So for decagon it has 10 sides. Therefore each exterior angle is 36.

Therefore each exterior angle is equal to 36 360 10 36. Measure of each exterior angle - 口. The measure of each exterior angle of a regular polygon with n sides 360n Each exterior angle of a regular decagon 36010 36 Given each exterior angle 3x 6 3x 6 36 Solving for x we get 3x 30 x 10 Therefore the value of x is 10.

In this problem---- regular decagon. 1 Expert Answer Simply divide 360 by the number of sides of the polygon. As the number of sides is 10 in a decagon.

310 30 30 6 36 3610 360 10 indicates how many sides the shape has Each external angle increases up to 360 degrees. A decagon has 10 sides so its interior angles add up to 180 10 360 1440 degrees. The degree measure of each exterior angle of a regular decagon is represented by the expression 5x 1.

1 Mathematics NCERT Exemplar Standard VIII Suggest Corrections 0 Similar questions. How do you find the exterior angle of a regular decagon. The degree measure of each exterior angle of a regular decagon is represented by the expression 5x 1.

As a decagon has 10 sides the measure of the exterior angle for a regular decagon is 36010 36. We know that a pentagon has 5 sides and a decagon has 10. To get each exterior angle we simply divide 360 by number of sides.

Part a we know that. The sum of the exterior angles is 10 x 36 360 degrees. Measure of each exterior angle of a regular pentagon 360 5 72 Measure of each exterior angle of a regular decagon 360 10 36 Required ratio 72 36 2.

Each exterior angle of a regular decagon has a measure of 3x 6. The sum of all exterior angles of the regular decagon is 360. In the regular decagon all angles are equal.

Part a The sum of the interior angle measures of a regular decagon is. Sum of interior angles n 2 180 8 2 180 6180 1080 each interior angle 1080 8 135 Sum of exterior angles of octagon is 360 number of sides n 8. Each interior angle in regular decagon measures 144º while each exterior angle measures 36º.

Find the measure of each interior angle and each exterior angle of a regular decagon a ten-sided polygon. 3601036 is the measure of each exterior angle of the regular polygon. As a decagon has 10 sides the formula for exterior angle is given by.

THIS IS THE BEST ANSWER The answer is X 10 Step by step explanation. A decagon has 10 sides so its interior angles add up to 18010 360 1440 degrees.

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