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?
Answer & explanation
Correct answer: option 3
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