Math, asked by bannakuldeep123456, 7 months ago

sum of exterior angel of pentagon​

Answers

Answered by Queenhu826
2

Answer:

The exterior angles of this pentagon are formed by extending its adjacent sides. They are formed on the outside or exterior of the polygon. The sum of an interior angle and its corresponding exterior angle is always 180 degrees since they lie on the same straight line.

Answered by Anonymous
5

Answer:

An exterior angle is an angle which is formed by one of the sides of any closed shape structure such as polygon and the extension of its adjacent side

Let us say you start travelling from the vertex at angle 1. You go in a clockwise direction, make turns through angles 2, 3, 4 and 5 and come back to the same vertex. You covered the entire perimeter of the polygon and in fact, made one complete turn in the process. One complete turn is equal to 360 degrees. Thus, it can be said that ∠1, ∠2, ∠3, ∠4 and ∠5 sum up to 360 degrees.

Hence, the sum of the measures of the exterior angles of a polygon is equal to 360 degrees, irrespective of the number of sides in the polygons

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