Question

AC is tangent to circle O at A. If m arc BY=24 , what is mYAC? (The figure is not drawn to scale.)

Answer 1

78

Explanation:

78 is the answer.

Answer 2

It is given in the question that measurement of arc BY is 24 degree and AB is the diameter . Therefore measurement of arc BYA is 180 degree. Hence measurement of arc YA is

`=180-24=156 degree`

And angle YAC is double of angle YA . And since YA is 156 degree. So angle YAC is

`=(1)/(2) (156) = 78 degree`

And that's the required answer .