Is the answer 130 degree. 
I just want to ensure. See the question in the pic.


$iv) Tangent BC\hspace{0.17em}touches the circle at the point A, if AD is a chord such that m (arc AD) = 100° then find the measure of \angle CAD.$

Dear Student,

Please find below the solution to the asked query:

We form our diagram from given information , As :

As we know m ( arc AD ) =  100$°$ , So  $\angle$ AOD  =  100$°$   , Here  ' O '  is center of given circle

We know from Alternate segment theorem. The angle between the tangent and chord at the point of contact is equal to the angle in the alternate segment.  So

$\angle$ CAD =  $\angle$ AOD  , Substitute value we get :

$\angle$ CAD =  100$°$                                                                ( Ans )

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