Question

Need help in proving theorems of square please ASAP ​

Answer 1

The length of
`\overline{JO}` is 48.

Explanation:

A square is a quadrilateral whose four sides have the same length and four internal angles have the same measure. The sum of measures of internal angles in quadrilaterals equals 360°. Let
`m\,\angle BOJ = 4\cdot x -6` and
`BO = 2\cdot x - 8`, the value of
`x` is:

`4\cdot (4\cdot x - 6) = 360^(\circ)`

`16\cdot x -24 = 360^(\circ)`

`16\cdot x = 384^(\circ)`

`x = 24`

And the length of
`JO` is:

`JO = BO = 2\cdot x - 8`

`JO = 40`

The length of
`\overline{JO}` is 48.