A thin prism of angle 6^° and refractive index for yellow light ( n_Y ) 1.5 is combined with another prism of angle 5^° and n_Y =1.55. The…

A thin prism of angle $\displaystyle 6^{\circ}$ and refractive index for yellow light $\displaystyle \left(\mathrm{n}_{\mathrm{Y}}\right) 1.5$ is combined with another prism of angle $\displaystyle 5^{\circ}$ and $\displaystyle \mathrm{n}_{\mathrm{Y}}=1.55$. The combination produces no dispersion. The net average deviation ( $\displaystyle \delta$ ) produced by the combination is $\displaystyle \left(\frac{1}{x}\right)^{\circ}$. The value of $\displaystyle x$ is \_\_\_\_.