Please help me! I really need help on how to find the missing side angle

The scale factor for the figure is,
[tex]x=\frac{35}{36}[/tex]The ratio of perimeter of similar figure is equal to the scale ratio of figure. So perimeter ratio is,
[tex]\frac{P_1}{P_2}=\frac{35}{36}[/tex]The ratio of area of similar figure is equal to square of scale ratio of figures. So area ratio is,
[tex]\begin{gathered} \frac{A_1}{A_2}=\frac{(35)^2}{(36)^2} \\ =\frac{1225}{1296} \end{gathered}[/tex]
So area ratio is 1225/1296