Answer:
Option C. x = 76°
Explanation:
It has been given in a circle that two chords are intersecting by making an angle 94° and measurements of the arcs formed by the chords are x° and 112°.
We have to get the value of x.
Since we know in a given circle when two chords intersect each other then by theorem-
94° = (1/2)(sum of measurements of arcs form by the chords) = (1/2)(x + 112)
x + 112 = 2×94
x + 112 = 188
x = 188 - 112 = 76°
Therefore Option C. x = 76 is the answer.