Point P is the center of the circle in the figure shown. What is the value of x ?

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Official May 2022 International SAT Section 4 Question 36
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I found a solution that is even more beautiful: when you draw a line from A to P until it crosses the circle on the other side, you get a point E, the angle ABE = 90 and because the length PB = PE we get angle BPE = 50, for BPC just times 2 and voilà

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Another great video. It's currently 11:02 PM on the East Coast and your videos are a great help this late at night. Once again, keep it up!

jacobw.