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If the sum of the interior angle measures of a polygon is 2700 degrees how many sides does a polygon have?
It will have (2700+360)/180 = 17 sides
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?
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
What is the measure of an interior angle of a regular 17-gon?
The interior angle is a regular polygon is equal to 180-360/n, where n is the number of sides. For a 17-sided regular polygon, 180-360/n is approximately 158.824 degrees.
What the interior and exterior angles of a 17 gon?
The exterior angles of a regular n-gon measure 360/n degrees each and each interior angle is supplementary to its corresponding exterior angle. Thus each exterior angle measures 360/17 degrees which is approximately equal to 21.176 degrees. Each interior angle will then measure 180 - 360/17 degrees which is approximately equal to 158.824 degrees.
What polygon has an angle sum of 2700 degrees?
polygon with 17 sides
How many sides does a polygon have if its interior angle is 15 degrees?
17
What is the exterior angle of a 17-gon?
Exterior angles always add up to 360 degrees. Assuming the 17-gon is regular, one exterior angle would be 360/17 which is around 21.176.
What is the number of sides of a regular polygon in which the measure of an interior angle is seventeen times the measure of an exterior angle?
17x+x=180 degrees as interior+exterior angle = 180 degrees. 18x=180 so x=10, this is the exterior angle. 360/10=36, this is the number of sides. Check: 34*180/36=170 degrees which is 17 times larger than 10 so this answer is correct.
What is the angle sum of a 17-agon?
The exterior angles add to 360 degrees. The interior angles add to (17-2)*180 = 2700 degrees.
What is the sum of the angle of a 17 sided regular polygon?
A regular polygon with 17 sides has exterior angles that add up to 360. That is the sum of the exterior angles no matter how many sides a regular polygon has. The sum of the interior angles is (n-2) 180 degrees where n is the number of sides. In this case that is 15x180 which is 2,700
What is the interior angle of a 17gon?
The total interior angles of a 17-gon accumulate to 2700 degrees [180*(sides-2)]. Assuming all sides are equal, the total interior angle would be 2700/17 = 158.82
What is the sum of the angle measures of a 17 sided polygon?
Heres a good trick to figuring out the sum of the angles of an "n" sided polygon. It's common knowledge that a triangle (3 sides) has a sum of 180 degrees and a square (4 sides) is 360 degrees. You can infer that a pentagon (5 sides) has a sum of 540 degrees. So the equation to figure out the sum of all the angles of an "n" sided polygon is 180*(n-2). So in your case n = 17 so the equation becomes 180(17-2) = 2700 degrees
