Quadrilateral abcd is inscribed in a circle. find the measure of each of the angles of the quadrilateral.
can someone explain to me how you do this?

 m< A = 92

               m<B = 100

               m<C = 88

               m< D 80

Step-by-step explanation:

(x+2) + (x-2) = 180

2x = 180  

x=90

A= x+2=90+2=92

C= x-2=90-2=88

D=x-10=90-10=80

B=360-(92+88+80)=360-260=100

according to the triangle sum theorem, all the angles in a triangle must add up to 180 degrees. if we know one angle is already 90, we do 180-90=90. the other 2 angles must add up to 90, exactly.

step-by-step explanation:

the answer is a beach is the best place to be