prove that the sum of all angles of a quadrilateral is 360°
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Bro it's simple
Divide any quadrilateral into two triangles by constructing diagonal.
Then We know that Angles of each triangle sum to 180
So, angles of two triangle will sum to 360°.
Divide any quadrilateral into two triangles by constructing diagonal.
Then We know that Angles of each triangle sum to 180
So, angles of two triangle will sum to 360°.
gdriti:
If we divide a quadrilateral using a diagonal , we get two triangles. According to Angle Sum Property of triangles, the sum of all the angles of a triangle is equal to 180 . therefore the sum of all the angles of a quadrilateral is 360.
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Hi friend..
Here is YOUR ANSWER
________✴️ANSWER ✴️_________
➡️➡️➡️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 YOU
☺️✌️
Here is YOUR ANSWER
________✴️ANSWER ✴️_________
➡️➡️➡️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 YOU
☺️✌️
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