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Let's do this question if the sides of a triangle are produced in an order so that the sum of the exterior

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angles so formed is equal to 360 degree was the video, give it a thought and then let's do it together.

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All right.

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Over here, it's mentioned that the sides of the triangle are produced in an order to how can I do that?

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I can produce them like this right this side over here.

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I'm producing it like this.

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This one I'm producing it like this and ebe and producing it like this.

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Right.

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What is the other way in which I could have produced them in an order.

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I could have produced them in the opposite direction right over here instead of going towards the right.

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I could have gone towards the left like this.

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And then I should have produced this side in this manner and this side in this manner so I can take

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any one of these two ways.

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But the point mentioned in the question is the sites have to be produced in an order.

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All right.

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Let's move on.

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Let me make some space over here.

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Now, let me mark the three exterior angles so formed.

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That's angle one angle to an angle trip and let's mark the three interior angles, that's angle four

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and five and angle six.

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Now we need to prove that angle one plus angle two plus angle three is equal to 360 degrees.

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All right.

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Now from the exterior angle property, we know angle one is equal to angle five plus angle six.

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Right, because five and six are interior opposite angles for angle one.

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Similarly, angle two is equal to angle for angle five and angle three will be equal to angle for angle

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six.

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All right.

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Now let's add these three angles up to angle one plus angle two plus angle three is equal to angle five

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plus six plus four plus five plus four plus six.

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Now aggregating them, we get that as two times angle five plus six plus four.

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Now as per the angle, some property of a triangle, we know that angle four plus five plus six is equal

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to 180 degrees.

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Therefore this is equal to two times 180 degrees, which is equal to 360 degree.

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Now, we have seen that the sum of the exterior angles of a triangle taken in an order is equal to 360

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degree.

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Now, this is not only true for a triangle, it's true for any polygon.

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If you take any polygon, whether it's a Pentagon or a quadrilateral or a hexagon to dig any quadrilateral

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or polygon, and you add up the exterior angles, the sum of the angles so obtained will be equal to

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360 degrees.

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Now, there is an interesting way in which you can think about it.

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Imagine a person is standing at Point C looking in this direction right now.

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He turns by an angle to and starts walking in the direction.

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See it till he reaches point A after reaching point A, he turns by an angle one and walks in the direction

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Ebbie till he reaches point B.

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After reaching point B, he turns by an angle tree and starts walking in the B C direction.

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Dilli gets back to point C now a person started looking in this direction.

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Now he keeps making rotations of Angle to.

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Right, and afterwards and angle one.

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Then angle three and finally he's back looking in the same direction, right?

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So what is actually happening is he's doing one complete revolution and we know that one complete revolution

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around the point is equal to 360 degrees.

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That's why when you add all the exterior angles taken in an order, you get the Sonmez 360 degree.

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And this is true for any polygon.