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Angles and a Circle

Source:

March 15, 2010
number theoryleast common multiple

Problem Statement

Points A1 A_1, A2 A_2, ... ... are placed on a circle with center O O such that \angle OA_n A_{n\plus{}1}\equal{}35^\circ and A_n\neq A_{n\plus{}2} for all positive integers n n. What is the smallest n>1 n>1 for which A_n\equal{}A_1?
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