geometry

crhoades

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The measure of the vertex angles in a given guadrilateral are , X, 2x, x-2 and 2. Determine the measures of all angles?
 
The measure of the vertex angles in a given quadrilateral are , X, 2x, x-2 and 2. Determine the measures of all angles?

The sum of the angles a convex quadrilateral is \(\displaystyle 2\pi\).
 
The sum of the angles [of] a convex quadrilateral is \(\displaystyle 2\pi\).

The sum of the interior angles of a non-convex quadrilateral is also 360 degrees.

It has one reflex angle (an angle greater than 180 degrees but less than 360 degrees).

A non-convex quadrilateral also has at least two acute angles.

One of the diagonals of a non-convex quadrilateral lies entirely inside of it, and divides it into two

non-overlapping triangles, each of which has an interior angle sum of 180 degrees.
 
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