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Answer: (D) \(230^\circ\)

An inscribed angle is half the measure of its intercepted arc. \(\angle ACB\) intercepts arc AB (the arc not containing C):

\[m(\text{arc AB}) = 2 \times 65^\circ = 130^\circ\]

Arc ACB is the other arc:

\[m(\text{arc ACB}) = 360^\circ - 130^\circ = 230^\circ\]

(B) \(130^\circ\) is the intercepted arc, not the arc in which the angle is inscribed.

Doubtly AI · 24 Oct 2026 AI-verified · Oct 2026 Report
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