In triangle SRT, side SR is equal to TR. So angle opposite to the equal sides are equal which means that,
[tex]\begin{gathered} \angle S=\angle T \\ \angle S=(2x+2)^{\circ} \end{gathered}[/tex]
The sum of all angles of a triangle is equal to 180 degree. So,
[tex]\begin{gathered} \angle S+\angle R+\angle T=180^{\circ} \\ 2x+2+2x+2+3x+1=180^{\circ} \\ 7x=180^{\circ}-5^{\circ} \\ x=\frac{175^{\circ}}{7} \\ =25^{\circ} \end{gathered}[/tex]
Substitute the value of x in expression 2x+2 to obtain the measurement of angle S.
[tex]\begin{gathered} \angle S=2\cdot25^{\circ}+2^{\circ} \\ =52^{\circ} \end{gathered}[/tex]
So answer is 52 degree.
