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