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Answer:
∠x = 30°
Explanation:
The measure of an inscribed angle is half the measure of the arc it subtends. Angle BAC is half the measure of arc BC.
Arc ABC is a semicircle, so measures 180°. Of that, arc AB is 120°, so the remainder, 180° -120° = 60° is the measure of arc AB.
Angle x is half that, or 60°/2 = 30°.
The measure of angle x is 30°.