If RS=59 AND ST=10x-31,find x

Answer: x=9Step-by-step explanation:In the given picture, we have a circle in which we have given two congruent arcs [tex]\overarc{RS}\text{ and }\overarc{TS}[/tex]And [tex]\overline{RS}=59\text{ and }\overline{ST}=10x-31[/tex] Since, we know that congruent arcs have congruent chords.Therefore,  [tex]\overline{RS}=\overline{ST}[/tex][tex]59=10x-31\\\\\Rightarrow\ 10x=59+31\\\\\Rightarrow 10x=90\\\\\Rightarrow x=\frac{90}{10}\\\\\Rightarrow x=9[/tex]