We know that two angles shown have to add to a right angle, which measures 90°, then we have the equation:
[tex]\begin{gathered} x+5x=90 \\ 6x=90 \\ x=\frac{90}{6} \\ x=15 \end{gathered}[/tex]Hence, the value of x is 15°; which means that:
[tex]\begin{gathered} x=15 \\ 5x=75 \end{gathered}[/tex]Therefore, the angles are 75° and 15°