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1972 AMC 12 Question 26

AMC12 · 1972 AMC 12

Question 26

In the circle shown, $M$ is the midpoint of arc $\overset{\frown}{CAB},$ and segment $MP$ is perpendicular to chord $AB$ at $P.$ If the measure of chord $AC$ is $x$ and that of segment $AP$ is $x+1,$ then segment $PB$ has measure equal to:

Question illustration
  1. $3x+2$
  2. $3x+1$
  3. $2x+3$
  4. $2x+2$
  5. $2x+1$