The diagram below is given
From the diagram
By the properties of right angle triangle
[tex]m\angle a=90^{\circ}[/tex]
By the rule of the sum of angles on a straight line
It implies that
[tex]x+a+52=180[/tex]
Substitute a = 90 and solve for x
[tex]\begin{gathered} x+90+52=180 \\ x+142=180 \\ x=180-142 \\ x=38^{\circ} \end{gathered}[/tex]
Therefore, the value of x is 38 degrees
