[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
[tex] \textbf{By the properties of Isosceles Trapezoid, }[/tex]
[tex] \textbf {we know that :}[/tex]
[tex] \textsf{Diagonals of an Isosceles triangle are equal} [/tex]
[tex] \textsf{Let's proceed accordingly} [/tex]~
[tex]\qquad \sf \dashrightarrow \:4x - 47 = 2x + 31[/tex]
[tex]\qquad \sf \dashrightarrow \:4x - 2x = 31 + 47[/tex]
[tex]\qquad \sf \dashrightarrow \:2x = 78[/tex]
[tex]\qquad \sf \dashrightarrow \:x = 78 \div 2[/tex]
[tex]\qquad \sf \dashrightarrow \:x = 39[/tex]
[tex] \textsf{Therefore, value of x is } [/tex][tex] \textbf{39} [/tex]
