AC is tangent to circle O at A. The diagram is not to scale. is arc mBY = 52 , what is angle YAC ?

Question

anonymous · Answer

attachment

anonymous · Answer

@lucaz @kewlgeek55 @AkashdeepDeb @undeadknight26

jdoe0001 · Answer

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jdoe0001 · Answer

so a tangent line will be perpendicular to a diameter line crossing the center of the circle

anonymous · Answer

@jdoe0001 im confused ..

anonymous · Answer

if you used the numerals that are in my problem in your drawing it might help a little.

jdoe0001 · Answer

|dw:1395868654140:dw|    $\bf \textit{inscribed angle}=\cfrac{\textit{intercepted arc}}{2}$

so what do you think is the value of the angle BAY ?

jdoe0001 · Answer

we know arc BY has a measure of 52 degrees
keep in mind that BY is the intercepted arc for the inscribed angle BAY

anonymous · Answer

Half of 52 is 26 so A is 26 .. 26 + 52 = BAY ?

anonymous · Answer

52 + 52 = BAY then because BY = 1/2BAY ?

jdoe0001 · Answer

well.. yes... A is 26

and we also know that the tangent is perpendicular to the line AB

so |dw:1395869046129:dw|