Answer:
2700 degrees.
Step-by-step explanation:
The external angles add up to 360 degrees
So 1 external angle in a regular 17-gon = 360/17
= 21.176 degrees
The internal angle = 180 - 21.176
= 158.824 degrees
Sum of internal angles = 158.824 * 17
= 2700 degrees.
Answer:
Step-by-step explanation:
Every closed curve called a polygon can be separated into a specific number of triangles. Then, because the sum of the interior angles of a triangle is 180, you take the number of triangles and multiply by 180 to get the sum of the interior angles of the n-gon. To find the number of triangles that exist within an n-gon, subtract 2 from the number of sides. If our figure is a 17-sided polygon, then the number of triangles within it is 17 - 2 = 15. 15 triangles, each with a sum of 180 for its angles. 15 * 180 = 2700.
Each central angle is 360 divided by 17 to get 21°10'35"
Each interior angle is 2700 divided by 17 to get 158°49'24"
