Question

prove that the sum of all angles of a quadrilateral is 360

Answer 1

One Quadrilateral has 4 dimensions.


Each side it has 90


4 *90 = 360

Answer 2

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➡️➡️➡️SUM OF ALL ANGLES OF A QUADRILATERAL IS 360 ⬅️⬅️⬅️


(1)One way of proving is that, all 4 interior angles of quadrilateral are placed in such a way that vertices of these angles become coincident. And then any one ray of any one angle is rotated , either in clock wise or anti clockwise direction.

We find that , it takes complete one rotation. That proves that the sum all 4 angles = 360°

(2) Second method of proving , Draw a diagonal. Quadrilateral is divided into 2 triangles. The sum of interior angles of these 2 triangles , is to be 180° x 2 = 360°



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