Math, asked by mohammadisrar85, 1 year ago

the sum of all angles of a quadrilateral is 360

Answers

Answered by 7777777RAM
2
yes this is true the sum of all the angles of the quadrilateral is 360 degree
thanks.
Answered by Anonymous
7
Hi dear friend..
See the attached file

➡️➡️➡️The 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°

I hope it will help
☺️✌️
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