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In this video, let's discuss these some of the exterior angles of a polygon.

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Now, over here we have a hexagon.

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It's a six sided polygon.

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Let's mark the exterior angles taken in a particular direction.

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So I extend right.

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And I get this accident angle over here.

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Similarly, I extend KBE in this direction to get angle three over here.

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I extend back in this direction to get angle to over here.

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I extend A.F. in this direction to get angle one over here, I extend F e in this direction to get angle

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six over here and I extend it in this direction to get angle five over here.

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So I have extended the sights taken in a particular direction.

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Right.

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And I have got six exterior angles.

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All right.

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Let's now find the some of angle, one angle, two, three, four, five, plus six.

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Let's first see it visually.

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If I take these angles and put them together around the point, you will see that it makes a complete

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revolution.

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And we know that a complete revolution is equal to 360 degrees.

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So visually, we have seen that when we added these six angles, which were the six exterior angles

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formed when we made exterior angles taken in a particular direction, the sum of those angles is equal

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to 360 degrees.

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Now, let's think of this in a different manner.

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Let's think that a person is standing over here and he is facing this direction.

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All right.

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Let me start with this direction over here.

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Now it turns by an angle for and moves in this direction till he reaches point C.

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Now, after reaching buoyancy, he turns by an angle three and moves in this direction till point B.

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Now, after reaching point B, he moves by an angle, too, and moves in this direction till point eight.

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Then he turns by an angle one and moves in this direction till point F.

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Now he would have moved again in this direction, right?

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That's why he keeps turning.

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After reading over here, he turns by an angle six and then he moves in this direction after reaching

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point E, it moves by an angle five and then moves in this direction till he reaches back at point B

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and he's looking in the same direction.

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Right.

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So you can see that if he started off in looking in this direction, he kept on rotating.

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He kept on rotating.

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And he came back looking in this direction, right?

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So he has made one complete turn.

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That's why the some of the external angles of a polygon is equal to 360 degrees.

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Now, we have seen this before for a triangle.

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Now over here we see that for any polygon, if you take the external angles in and order, the some

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of the exterior angles is equal to 360 degrees.

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Now, if the polygon is a regular polygon.

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All the interior angles are equal, right, and all the exterior angles taken in an order will also

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be equal.

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In this case, where we have a regular polygon, each exterior angle is equal to 360, which is the

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sum of the exterior angles divided by and which is the number of exterior angles.

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Because if you have a six sided figure, you will have six exterior angles when you extend the sides

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taken in an order already.

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So over him, what would be each angle?

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Because these are six figure.

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Each angle is equal to 360 by six.

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That's equal to 60 degrees.

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So this angle over here is equal to 60 degrees.

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This angle over here is equal to 60 degrees.

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Given that hexagon, A, B, C, D, E, F is a regular hexagon.

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All right.

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Now, there is one more interesting thing that you can notice over here.

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If you add the internal angle plus the external angle, you will get 180 degree Y because the internal

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angle, which is this angle over here and the external angle form a linear pair.

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And we have seen that when you have angles that form a linear pair, if you add them up, you will get

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180 degrees.