Question

The diagonals of an isosceles trapezoid are represented by 4x – 47 and 2x 31. what is the value of x?​

Answer 1

`\qquad\qquad\huge\underline{{\sf Answer}}`

`\textbf{By the properties of Isosceles Trapezoid, }`

`\textbf {we know that :}`

`\textsf{Diagonals of an Isosceles triangle are equal}`

`\textsf{Let's proceed accordingly}`~

`\qquad \sf  \dashrightarrow \:4x - 47 = 2x + 31`

`\qquad \sf  \dashrightarrow \:4x - 2x = 31 + 47`

`\qquad \sf  \dashrightarrow \:2x = 78`

`\qquad \sf  \dashrightarrow \:x = 78 / 2`

`\qquad \sf  \dashrightarrow \:x = 39`

`\textsf{Therefore, value of x is }`
`\textbf{39}`