Answer:
120
Explanation:
You want to know the measure of the third arc of a circle where one of the arcs is labeled 114°, and a second arc is intercepted by a 63° inscribed angle.
Inscribed angle
The measure of an inscribed angle (63°) is half the measure of the arc it intercepts:
(1/2)(arc) = 63°
arc = 2·63° = 126° . . . . . arc opposite the 63° angle
Arcs of a circle
The total of arcs of a circle total 360°.
114° +126° +x° = 360°
x° = 120° . . . . . . . . . subtract 240°
The value of x is 120.