Prove that sum of 4 angles in a quadrilateral is 360 ?

1 Answer
Feb 18, 2018

Just draw a diagonal dividing quadrilateral in two triangles. Sum of four angles of quadrilateral is same as sum of six angles of two triangles. As sum of angles of a triangle is #180^@#, that of quadrilateral is #180^@+180^@=360^@#