SOLUTION: what is the sum of measures of angles of a convex quadrilateral? will this property hold if the quadrilateral is not convex?

Question 1037163: what is the sum of measures of angles of a convex quadrilateral?
will this property hold if the quadrilateral is not convex?
Answer by addingup(3677) (Show Source): You can put this solution on YOUR website!
The sum of the measures of the interior angles of any quadrilateral is 360.
Take any quadrilateral, convex or non, draw a line through it to break it into 2 triangles. Then the laws of triangles applies:
"the sum of the interior angles of ANY triangle is 180 degrees"
Since you split the quadrilateral into 2 triangles and each triangle is 180 degrees, 2*180 = 360
Attached is a picture for you to print and practice how you would draw a line to split a convex and a non-convex quadrilateral into two triangles:

RELATED QUESTIONS
A quadrilateral is a polygon with four sides. The sum of the measures of the 4 angles in... (answered by ankor@dixie-net.com)

The measures of the angles of a particular convex quadrilateral are in the ratio... (answered by stanbon)

The sum of the four angle measures of any convex quadrilateral is 360 degrees.... (answered by ikleyn)

1.) two angles of a quadrilateral are congruent and each of their measures is 110. what (answered by stanbon)

If the diagonals of a quadrilateral bisect one another at right angles, then the... (answered by MathLover1)

In a quadrilateral each angle is double another angle. What are the measures of the... (answered by Mathtut)

True OR FALSE!!>>if all angles of quadrilateral are congruent then the quadrilateral is... (answered by oberobic)

The sum of the measures of the angles of a quadrilateral is 360 degrees. Suppose you are... (answered by Alan3354)

What is the sum of the measures of the interior angles of a convex... (answered by fractalier)