Question

Please Help! AC is tangent to circle O at A. The diagram is not to scale

If mBY = 52, what is mYAC

Answer 1

64°

Explanation:

BAC = 90°

BAY = 52/2 = 26°

YAC = 90 - 26 = 64°

Answer 2

As shown in picture, AC is tangent to circle O

=> angle BAC = 90 deg

As the property of angle on circle:

=> BAY = (1/2) arc BY = (1/2) x 52 = 26 deg

=> angle YAC = angle BAC - angle BAY = 90 - 26 = 64 deg

Hope this helps!

:)