What is the sum of the measures of the exterior angles of a decagon?
Polygons are closed two-dimensional figures with three or more straight lines. The name of a polygon is given depending on the number of sides it has. For example, an 8-sided polygon is called an octagon.
Answer: The sum of the measures of the exterior angles of a decagon is 1440.
Let's understand the solution in detail.
A 10-sided polygon is called a decagon.
To find the sum of the exterior angles in an n-sided polygon, we use the formula (n - 2) × 180.
Hence, for a decagon, n = 10, as it is a 10-sided polygon.
Now, substituting the value of n = 10 in the above equation:
The sum of exterior angles of decagon = (10 - 2) × 180 = 8 × 180 = 1440.