Answer:
x = 55°
Explanation:
Inscribed Angle Theorem says that the angle inside the circle is equal to 0.5 times the measurement of the arc it span. For example, the 70° spans 140° of the arc.
Create two equations to solve for x and r.
x = 0.5r
2r + 2(70) = 360
2r + 140 = 360
2r = 220
r = 110
x = 0.5 * 110
x = 55°