Question

Proof the sum of the angles of quadrilateral 360degrees​

Answer 1

Answer:

If we draw one diagonal to quadrilateral we will get two triangles i.e. △ABC and △ACD and we know that sum of the angles of a triangle is 180 degree

Sum of angles of quadrilateral ABCD=sum of angles of △ABC + sum of the angles △ACD

= 180 degree + 180 degree

= 360 degree .

Answer 2

We have learned that the sum of internal angles of a quadrilateral is 360°, that is, ∠ABC + ∠BCD + ∠CDA + ∠DAB = 360°. let's prove that the sum of all the four angles of a quadrilateral is 360 degrees. We know that the sum of angles in a triangle is 180°