To find the angles, we first solve the equation:
[tex]\begin{gathered} \tan x=\frac{13}{25} \\ x=\tan ^{-1}(\frac{13}{25}) \\ x=27.47 \end{gathered}[/tex]Now, since the tangent has a period of 180 this means that, in the interval given, two angles will fullfil the condition given; to find the second angle we just add 180 to the x we found.
Therefore, in the interval from 0 to 360, the angles 27.47 and 207.47 will fulfill the condition given.
