It depends on convex WHAT!
It is a convex quadrilateral, as the remaining angles could be any two angles with a sum of 180 degrees.
Interior angles of any quadrilateral always total 360o.
The sum of the angles is 900 degrees - and the polygon does not need to be convex.
I'm not sure if you mean interior or exterior angles, so I'll give you an answer for both.For interior angles:The sum of the measures of the *interior* angles of a quadrilateral is always 360 degrees. To understand why this is true, recall that the sum of the interior angles of a triangle is 180 degrees. Now, in any quadrilateral, we can draw a diagonal, splitting it into two triangles.So, the sum of the interior angles of the quadrilateral will be the sum of all of the interior angles of the two triangles, in other words, 2x180.In general, an n-gon can be divided into n-2 triangles, so the sum of the interior angles of an n-gon is 180x(n - 2) = 180xn - 360For exterior angles:The sum of the exterior angles of any closed, convex figure will be 360 degrees. So, if the quadrilateral is convex (isn't bent inwards) the sum of the exterior angles will be 360 as well.
What is the sum of the measures of the angles of a convex quadrilateralwill this property hold if the quadrilateral is not convex?
Hmmm... how bout 360 degrees ?
It depends on convex WHAT!
It is a convex quadrilateral, as the remaining angles could be any two angles with a sum of 180 degrees.
Interior angles of any quadrilateral always total 360o.
The sum of the angles is 900 degrees - and the polygon does not need to be convex.
The Quadrilateral Sum Conjecture tells us the sum of the angles in any convex quadrilateral is 360 degrees.
I'm not sure if you mean interior or exterior angles, so I'll give you an answer for both.For interior angles:The sum of the measures of the *interior* angles of a quadrilateral is always 360 degrees. To understand why this is true, recall that the sum of the interior angles of a triangle is 180 degrees. Now, in any quadrilateral, we can draw a diagonal, splitting it into two triangles.So, the sum of the interior angles of the quadrilateral will be the sum of all of the interior angles of the two triangles, in other words, 2x180.In general, an n-gon can be divided into n-2 triangles, so the sum of the interior angles of an n-gon is 180x(n - 2) = 180xn - 360For exterior angles:The sum of the exterior angles of any closed, convex figure will be 360 degrees. So, if the quadrilateral is convex (isn't bent inwards) the sum of the exterior angles will be 360 as well.
The sum of the exterior angles of ANY polygon, convex or concave, is 360 degrees.
360
A kite is a quadrilateral therefore the sum of its angles is 360 degrees.
360 degrees - and it does not have to be convex.