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Arithmetic Sequenceshard
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Let A,B,CA, B, CA,B,C be the angles of a triangle. If the angles A,B,CA, B, CA,B,C form an arithmetic progression, and sin(A−C)=fracsqrt32\\sin(A - C) = \\frac{\\sqrt{3}}{2}sin(A−C)=fracsqrt32, find the value of angle CCC (assuming A>B>CA > B > CA>B>C).