Question

Prove that the sum of the interior angles of quadrilateral is 3600

Answer 1

ur question is wrong.....

..it is not 3600 it is 360.......

Answer 2

Step-by-step explanation:

Consider a quad quadrilateral ABCD.

Join QS.

To\quad prove:∠A+∠B+∠C+∠D=360º

Proof:Consider triangle ABD,

we have,∠A+∠ABD+∠ADB=180º⟹(1)[Using Angle sum property of Triangle]

Similarly,triangle BCD,we have,∠DBC+∠C+∠BDC=180º⟹(2)[Using Angle sum property of Triangle]

On adding (1) and (2),we get∠A+∠ABD+∠ADB+∠DBC+∠C+∠BDC=180º+180º

∠A+∠B+∠C+∠D=360º