Question

In the adjoining figure, $AT$ is a tangent at $A$. If $\angle TAB={75}^o$ and $\angle BAC={40}^o$, find $\angle ACB$.

• A. ${90}^o$
• B. ${45}^o$
• C. ${75}^o$
• D. ${65}^o$

Answer 1

The correct option is C ${75}^o$

According to the alternate segment theorem, The angle between the tangent and chord at the point of contact is equal.
So, $\angle TAB=\angle ACB={75}^o$