The question can be answered only if the 20-gon is regular - ie all its angles are the same. IF that is the case, then:
The sum of the exterior angles of any polygon is 360 degrees. Since there are 20 exterior angles, each of them must be 360/20 = 18 degrees.
Any value between 0 and 360 degrees. There are no constraints on the size of a single angle in a polygon.
The equation for the size of an interior angle of an n-sided regular polygon is (n-2)180/n. When n=7, the interior angle of a regular sided shape would be 5x180/7 or approximately 128.57. The polygon in the question has an interior right angle (90 degree angle) and thus cannot be a regular shape. A 7 sided shape is called a heptagon. Thus, the shape described in the question is an irregular heptagon.
Suppose the interior angle is x degrees. Then the exterior angle is 180 - x degrees. x = 5*(180-x) = 900 - 5x So 6x = 900 so that x = 150 degrees. So exterior angle = 30 degrees. If the polygon has n sides (and n angles) the sum of its exterior angles is 30*n But the exterior angles of a polygon add to 360 degrees So 30*n = 360 so that n = 12. ANSWER: 12 sides.
156 degrees Sum of interior angles of a polygon=180(n-2), where n is the number of sides. To find one interior angle's measure, divide by the total number of angles, which is also the total number of sides.
It is: 360/17 = 210 10' 35.29''
360 / 9 = 40
exterior angle = 360° ÷ 20 sides = 18° interior angle = 180° - exterior angle = 180° - 18° = 162°
You simply do 360/20=18 so the size of each interior angle is 18 degrees.
Providing that it is a regular 36-agon then each exterior angle is 10 degrees and each interior angle is 170 degrees
If it is a regular 12 sided polygon then each interior angle is 150 degrees.
The exterior angles of any polygon add up to 360. 360/15 = 24
Each exterior angle is 360/26 = 13.846 degrees approx. So each interior angle = 180-13.846 = 166.154 degrees (approx).
30 degrees
The sum total of all exterior angles of any polygon is 360 degrees. So if you're given thevalue of one exterior angle AND THE POLYGON IS REGULAR(all exterior angles are thesame size), all you have to do is divide the size of one angle into 360, and the quotientis the number of sides.
180-170 = 10 degrees and the polygon will have 36 sides
If its a regular polygon then its 147 degrees.
No because each interior angle increases in size whereas each exterior angle decreases in size.