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1992 AMC 12 Question 20

AMC12 · 1992 AMC 12

Question 20

Part of an “$n$-pointed regular star” is shown. It is a simple closed polygon in which all $2n$ edges are congruent, angles $A_1,$ $A_2,$ $\ldots,$ $A_n$ are congruent, and angles $B_1,$ $B_2,$ $\ldots,$ $B_n$ are congruent. If the acute angle at $A_1$ is $10^\circ$ less than the acute angle at $B_1,$ then $n=$

Question illustration
  1. $12$
  2. $18$
  3. $24$
  4. $36$
  5. $60$