In the given figure, a circle with centre O is inscribed inside $\displaystyle \Delta$ LMN. A and B are the points of tangency. Find $\displaystyle \angle \mathrm{ANB}$.

\(\displaystyle \angle \mathrm{AOB}=360^{\circ}-\) reflex \(\displaystyle (\angle \mathrm{AOB})\) \(\displaystyle \angle \mathrm{AOB}=360^{\circ}-240^{\circ}=120^{\circ}\) \(\displaystyle \angle \mathrm{ANB}=360^{\circ}-\left(90^{\circ}+90^{\circ}+120^{\circ}\right)=60^{\circ}\)