Given data:
The given angle M is ∠M=(5x+10)°.
The given angle R is ∠R=55°.
The expression for the sum of both the angles is,
[tex]\angle M+\angle R=90^{\circ}[/tex]Substitute the given values in the above expression.
[tex]\begin{gathered} (5x+10)^{\circ}+55^{\circ}=90^{\circ} \\ 5x=25^{\circ} \\ x=5^{\circ} \end{gathered}[/tex]Thus, the value of x is 5 degrees.
