Quadrilateral ABCD is inscribed in a circle. Find the measurements of each of the angles of the quadrilateral.

Angles A and C are supplemental....so....

x + 2   +   x - 2    = 180        simplify

2x   = 180           divide by 2

x  = 90

So   A  =   90 + 2    = 92          C  =    90 - 2   =  88     D   =  90 - 10   = 80

And  B is supplemental to D  ........so  B    =  180 - 80    =   100