Quadrilateral PQRS is inscribed in a circle. Find the measure of each of the angles of the quadrilateral. Show all your work.
(2x - 5) + (2x + 5) = 180
4x = 180
x = 45.
\(\angle P=x+10=55\)
\(\angle S=2x+5=95\)
\(\angle Q=2x-5=85\)
\(\angle R=180-\angle P=125\)