Question

prove that sum of 4 angles of quadrilateral is 360 degree

Answer 1

Proof: The sum of the measures of the interior angles of any quadrilateral can be found by breaking the quadrilateralinto two triangles. Since the measure of the interior angles of any triangle equals 180 degrees, each of the two triangles will contribute 180 degrees to the total for thequadrilateral.

Answer 2

first you draw a quadrilateral and draw a diagonal then we will get four triangle
and we know that sum of all angle in a triangle is 180 , if we sum 180 four time then it will come 360.