Find the value of x. ( answer needs to be in reduced radical form )

Step-by-step explanation:

All sides are of equal length.

So the figure is a square.

To find the x side, which is the hypotenuse of the triangle, we use Pythagoras' theorem:

Where

S is the length of the adjacent side and L is the length of the opposite side and X is the hypotenuse.

Since S and L are sides of a square, it is true that:

So:

If two parallel lines are cut by a transversal, then corresponding angles are congruent. If two lines are cut by a transversal and corresponding angles are congruent, then the lines are parallel.