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1983 AMC 12 Question 30

AMC12 · 1983 AMC 12

Question 30

Distinct points $A$ and $B$ are on a semicircle with diameter $MN$ and center $C.$ The point $P$ is on $CN$ and $\angle CAP=\angle CBP=10^\circ.$ If $\overset{\frown}{MA}=40^\circ,$ then $\overset{\frown}{BN}$ equals

Question illustration
  1. $10^\circ$
  2. $15^\circ$
  3. $20^\circ$
  4. $25^\circ$
  5. $30^\circ$