C crhoades New member Joined Nov 17, 2013 Messages 1 Nov 17, 2013 #1 I need help? The measure of the vertex angles in a given guadrilateral are , X, 2x, x-2 and 2. Determine the measures of all angles?
I need help? The measure of the vertex angles in a given guadrilateral are , X, 2x, x-2 and 2. Determine the measures of all angles?
pka Elite Member Joined Jan 29, 2005 Messages 11,978 Nov 17, 2013 #2 crhoades said: The measure of the vertex angles in a given quadrilateral are , X, 2x, x-2 and 2. Determine the measures of all angles? Click to expand... The sum of the angles a convex quadrilateral is \(\displaystyle 2\pi\).
crhoades said: The measure of the vertex angles in a given quadrilateral are , X, 2x, x-2 and 2. Determine the measures of all angles? Click to expand... The sum of the angles a convex quadrilateral is \(\displaystyle 2\pi\).
L lookagain Elite Member Joined Aug 22, 2010 Messages 3,249 Nov 17, 2013 #3 pka said: The sum of the angles [of] a convex quadrilateral is \(\displaystyle 2\pi\). Click to expand... 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.
pka said: The sum of the angles [of] a convex quadrilateral is \(\displaystyle 2\pi\). Click to expand... 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.