Based on the angles of intersecting chords theorem, the value of x is: A. 80.
What is the Angle of Intersecting Chords Theorem?
The angles of intersecting chords theorem states that, half the sum of the measure of the intercepted arcs equals the measure of the angle formed by two intersecting chords in a circle.
120 = 1/2(2x + x) [angles of intersecting chords theorem]
2(120) = 3x
240 = 3x
240/3 = x
80 = x
x = 80 (option A)
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