Question

prove that the sum of the angles of quadrilateral is 360deegry​

Answer 1

Step by step explanation:

Consider a quadrilateral ABCD, and a diagonal AC dividing ABCD in triangle ABC and triangle ACD.

Since we know that the sum of angles in a triangle is 180.

Thus 180+180=360degree

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Answer 2

Step-by-step explanation:

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

o

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

= 180

o

+180

o

= 360o

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