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To find the sum of the interior angles of a polygon, we can use the formula (n-2) * 180 degrees, where n is the number of sides. So, for a 36-sided polygon, the sum of the interior angles would be (36-2) * 180 = 6,480 degrees. To find the measure of each interior angle, we divide the sum by the number of sides, so each interior angle of a 36-sided polygon would measure 6,480 degrees / 36 = 180 degrees.
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BlakeOh, dude, a 36-sided polygon? That's like a shape with so many sides, it's practically a circle trying too hard. Anyway, the interior angles of a 36-sided polygon add up to 180 x (36-2) degrees, which is 180 x 34 = 6120 degrees in total. So, yeah, that's a lot of angles to deal with if you're into that kind of thing.
Well, darling, the sum of interior angles in any polygon can be found using the formula (n-2) * 180 degrees, where n is the number of sides. So for a 36-sided polygon, you just plug in 36 for n and calculate. That gives you a sum of 6120 degrees. Divide that by 36 to find the measure of each interior angle, which is 170 degrees. Voila!
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What is the sum of interior angles of a 36 sided polygon?
Sum interior angles = (number of sides - 2) × 180° = (36 - 2) × 180° = 6120°
How many sides does a regular polygon have if its interior angles are 170 degrees?
Interior angles = 170 degrees so exterior angles = 180 - 170 = 10 degrees Sum of exterior angles = 360 so there must be 360/10 = 36 of them. It is a 36 sided polygon.
What are the exterior angles of a 36 sided polygon?
The exterior angles of any polygon including a 36 sided polygon always add up to 360 degrees.
How many sides does a regular polygon have if its interior angles are 170 degrees each?
360/10 = 36 sides
What is a regular polygon with each exterior angle of 36 degrees?
It is: 360/36 = 10 sided regular decagon polygon
What is the sum of the interior angles of a plygon with 36 sides?
The interior angles of a 36 sided polygon add up tp 6120 degrees
What is the sum of interior angles of a 36 sided polygon?
Sum interior angles = (number of sides - 2) × 180° = (36 - 2) × 180° = 6120°
How many sides does a regular polygon have if its interior angles are 170 degrees?
Interior angles = 170 degrees so exterior angles = 180 - 170 = 10 degrees Sum of exterior angles = 360 so there must be 360/10 = 36 of them. It is a 36 sided polygon.
What would a 36 sided polygon's interior angles add up to?
They would add up to 6120 degrees
What is the sum of the interior angle measured by a 20-sided polygon?
162o. Method 1: Sum of interior angles of n-sided polygon = (2n - 4) right angles. In this case n = 20 so total of interior angles is 36 x 90o. Assuming polygon is regular then each interior angle is (36 x 90) divided by 20 = 3240/20 = 162. Method 2: Exterior angles of regular n-sided polygon = 360/n which in this case = 360/20 =18. Straight line is 180o so interior angle = (180 - exterior angle) = 180 - 18 = 162.
What is the measure of each exterior angle of a regular 10-sided polygon?
The interior angles are 144o, so the exterior angles are 36 degrees
An Icosagon is a 20 sided polygon What is the sum of its interior angles?
The interior angles of any n-sided polygon total (2n - 4) right angles. In this case n = 20 so angles total 36 x 90 degrees ie 3240 degrees. If it's a regular figure each angle is 162 degrees.
Interior and exterior angles on a 10 sided polygon?
Interior angles of n-sided polygon total (2n - 4) right angles, in this case 16 x 90 degrees, so each angle is 16 x 90/10 ie 144 degrees. Exterior angle is 180 - 144 ie 36 degrees.
What is the central interior angles of a 10 polygon?
36 degrees
What is the sum of the interior angles of a polygon with 36 sides?
The sum of the interior angles would be (36-2)180 degrees=6120 degrees.
If the interior angle of a polygon is 170 degrees can it be a regular polygon?
N sided polygon interior angles total 180n - 360, if it is regular then each angle is 180 - 360/n which in this case = 170 Multiply throughout by n: 180n - 360 = 170n ie 10n = 360 so your polygon is regular and 36 sided.
What is the measure of each exterior angles of a 36 sided polygon?
Providing that it is a regular polygon 10 degees otherwise angles may vary.
