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What is the number of sides in a regular polygon in which the measure of an interior angle is seventeen times the measure of an exterior angle?
Wiki User
∙ 12y ago
The regular polygon has 36 sides.
Check: Exterior angle=360/36=10 degrees
Interior angle=34*180/36=170 degrees.
170 is 17 times larger than 10 so 36 sides is the correct answer.
Method:
180n-360=17*180
180n=6480
n=36
Wiki User
∙ 12y ago
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How do you find interior and exterior angles of an irregular polygon?
Measure them with a protractor
How can you get the measure of an interior angle if you have the measure of the exterior angle of a regular polygon?
It is: 180-exterior angle = interior angle because there are 180 degrees on a straight line
If the sum of interior angles polygon equals 4320 degrees what is the measure of exterior angle of the polygon?
2280 :S
The sum of the interior angles of a regular polygon 1800 is What is the measure of each exterior angle of the polygon?
30 degrees
What is the measure of an interior and an exterior angle of a regular polygon with 5 sides?
Each exterior angle: 72 degrees Each interior angle: 108 degrees
How do you measure the interior angle of a polygon?
With a protractor or if you know the exterior angle then it's 180 - exterior angle = interior angle
How do you find interior and exterior angles of an irregular polygon?
Measure them with a protractor
How can you get the measure of an interior angle if you have the measure of the exterior angle of a regular polygon?
It is: 180-exterior angle = interior angle because there are 180 degrees on a straight line
If the sum of interior angles polygon equals 4320 degrees what is the measure of exterior angle of the polygon?
2280 :S
The sum of the interior angles of a regular polygon 1800 is What is the measure of each exterior angle of the polygon?
30 degrees
The measure of an exterior angle at the vertex of a polygon equals the measure of the adjacent interior angle?
Very rarely.
What is the sum of the measure of the interior angles of a regular polygon if each exterior angle measure 120?
180
The measure of an interior angle of a regular polygon is 150 degrees Find the number of sides?
AnswerIt is Dodecagon.To find this, you have to first find the exterior angle of the polygon. Since the exterior angle of a polygon is always supplementary to the interior angle, you subtract the measure of the interior angle from 180. 180-150=30. Now You divide 360 by the measure of the exterior angle to get the number of sides of the polygon. 360/30=12. A 12-sided polygon is called a dodecagon
What is the measure of an interior and an exterior angle of a regular polygon with 5 sides?
Each exterior angle: 72 degrees Each interior angle: 108 degrees
What is the measure of the exterior angle of a 13 sided polygon if the interior angles vertex is 55 degrees?
If an interior angle is 55 deg, the corresponding exterior angle is 125 deg. This has nothing to do with the number of sides of the polygon (unless it is a regular polygon).
Find the measure of an interior angle and an exterior angle of a regular polygon with 30 sides?
999999
What is the measure of each interior and exterior angle in this regular polygon?
That would depend on how many sides it has.
