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It is a mathematical fact that any regular polygon has sum of all its exterior angles as 360 degrees.
Option B: 360.
The sum of the exterior angles of a 25-gon is 360 degrees.
Given that:
- The polygon has 25 sides, thus being a 25-gon.
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.
Learn more about exterior angles of polygon:
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