Correct option is (B) 65°
Angles \(\angle ACB\;and\;\angle ADB\) are angles made by chord AB in the same segment (major segment).
We know that angles made in same segment are equal in measure.
\(\therefore\) \(\angle ADB=\angle ACB\) = \(65^\circ\) \((\because\angle ACB=65^\circ\) (given))