The statement is false

Explanation

<b style=”font-family: inherit; font-size: inherit; color: var(–bb-body-text-color); -webkit-text-size-adjust: 100%;”>Since a chord AB subtends an angle of 60∘at the centre of a circle

i.e., ∠AOB=60∘
As OA = OB = Radius of the circle
∠OAB=∠OBA=60∘
The tangents at points A and B is drawn. Which intersect at C.
We know. OA ⊥ AC and OB ⊥ BC
∴ ∠OAB=90∘,∠OBC=90∘
⇒ ∠OAB+∠BAC=90∘
And ∠OBA+∠ABC=90∘
⇒ ∠ABC=90∘−60∘=30∘
In △ABC∠BAC+∠CBA+∠ACB=180∘
[Since sum of all interior angles of a triangle is 180∘]
⇒ ∠ACB=180∘−(30∘+30∘)=120∘