SOLUTION: Prove: The sum of the measures of the four angles of a quadrilateral is 360 degrees. (Quadrilateral Sum Conjecture). I think it may have something to do with triangles. I need h

Algebra ->  Geometry-proofs -> SOLUTION: Prove: The sum of the measures of the four angles of a quadrilateral is 360 degrees. (Quadrilateral Sum Conjecture). I think it may have something to do with triangles. I need h      Log On


   

Question 610004: Prove: The sum of the measures of the four angles of a quadrilateral is 360 degrees. (Quadrilateral Sum Conjecture).
I think it may have something to do with triangles. I need help. Thank you.
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
if you draw a diagonal of the quadrilateral, it divides the quadrilateral into two triangles

each triangle has angles that sum to 180º ___ twice 180º is 360º