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1955 AMC 12 Question 29

AMC12 · 1955 AMC 12

Question 29

In the figure $\overline{PA}$ is tangent to semicircle $SAR;$ $\overline{PB}$ is tangent to semicircle $RBT;$ $SRT$ is a straight line; the arcs are indicated in the figure. Angle $APB$ is measured by:

Question illustration
  1. $\dfrac12(a-b)$
  2. $\dfrac12(a+b)$
  3. $(c-a)-(d-b)$
  4. $a-b$
  5. $a+b$