Question

proove that sum of all the angle of a quadrilateral is 360

Answer 1

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Answer 2

Heya!!

ln a Quadrilateral ABCD ,

By drawing a diognal by joining two opposite vertices , (for eg - A and C)

We obtain two triangles - Triangle ACD and Triangle ABC


We know that sum of all angles of a triangle = 180°

Triangle ABC + Triangle ACD = ABCD

Sum of all angles of ABC + Sum of all angles of ACD = Sum of angles of quadrilateal ABCD

180 + 180 = 360° = sum of all angles of a quadrilateral
(proved)

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