In the following figure, ΔABC is an inscribed triangle as shown and DE is a tangent to the circle at C. Which of the angles from the given options is necessarily equal to ∠ACD?

∠ABC

By using the alternate segment theorem,

The angle between a tangent and a chord at the point of contact is equal to the angle made by the chord in the alternate segment of the circle.

So,

∠ACD = ∠ABC

Answer :- ∠ABC