what is the sum of the exterior angles of a 25-gon? 540 360 180 4,500 other:
Mathematics · College · Thu Feb 04 2021
Answered on
Given : The polygon has 25 sides, thus being a
25-gon.
It is a mathematical fact that any regular
polygon has sum of all its exterior angles as
360 degrees.
Hence, Option B: 360 is correct.
What is a polygon?
A polygon is a geometric figure which is closed
and has all the sides equal.
A 25-gon is a polygon but with number of sides
as 25.
What is exterior angle in a polygon?
An exterior angle of a polygon is an angle
between an extend adjacent side of a side of
the polygon.
The reason why the sum of exterior angles add
up to 360 is because all the angles are same
and they together form a full rotation. And
since a full rotation is counted as 360 degree
rotation, thus, all the exterior angles of any
sided polygon is 360 degrees always.
Thus, option B: 360 degrees is correct.