Question

Need help in proving theorems of square please ASAP ​

Answer 1

Answer:

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

Step-by-step 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.