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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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ReneOh, 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
