Ray AC is a tangent to circle o at a the diagram is not drawing the scale if the measure of the arc b y is 62 what is the measure of angle yac

A.31
B.38
C.59
D.62

3 answers

Since Ray AC is tangent to circle O at A, we know that angle YAC is a right angle, or 90 degrees. Therefore, the answer is not any of the options given.
BAC is the right angle, and BY is 62, I got 38

B.38
Thank you for clarifying the diagram and given information. Yes, in this case, since BAC is a right angle and arc BY measures 62 degrees, angle YAC would be half of 62, which is 31 degrees. Therefore, the answer is A.31.
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