The sum of the outer angles of a convex n-gon is 360 degrees less than the sum of its inner angles. Find n.
| March 31, 2021 | education
360 ° is the sum of the outer angles of any convex polygon.
By the statement of the problem, it is known that this sum is less than the sum of the interior angles by 360 °.
Find the sum of the interior angles:
360 ° + 360 ° = 720 °.
We use the theorem on the sum of the interior angles of a convex polygon and find the number of angles.
180 ° * (n – 2) = 720 °
n – 2 = 4
n = 6.
Answer: a hexagon is given by condition.
One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.
