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2011 AMC 12B Question 6

AMC12 · 2011 AMC 12B

Question 6

Two tangents to a circle are drawn from a point $A.$ The points of contact $B$ and $C$ divide the circle into arcs with lengths in the ratio $2:3.$ What is the degree measure of $\angle BAC?$
  1. $24$
  2. $30$
  3. $36$
  4. $48$
  5. $60$