Igive the wrong one!
who can me!

x = 38 degrees

Step-by-step explanation:

If angle CBE = 52 degrees, then angle ABD is also 52 degrees, as the two angles are "vertical angles."

The sum of the interior angles of a triangle is 180 degrees.  Therefore,

x + 52 degrees + 90 degrees = 180 degrees, and so

x = 180 - (52 + 90), or x = 38 degrees

The additional information  to prove that ΔNOP ≅ ΔQRS by ASA  is

angle P is congruent to angle S.

Step-by-step explanation:

Given:

Angle N = 40 degrees,

side NP = 8,

angle Q = 40 degrees, and

side QS = 8.

 ∠ P ≅ ∠ S    …………..{Additional Information}

To Prove:

ΔNOP ≅ ΔQRS by ASA

Proof:

In  Δ NOP  and Δ QRS

     ∠ N ≅ ∠ Q    …………..{Given measure of each angle is 40°}

     NP ≅ QS     .....……….{measure of each side is 8 unit}

    ∠ P ≅ ∠ S    …………..{Additional Information}

Δ NOP ≅ Δ QRS  ….{ By Angle-Side-Angle test}

Also Diagram is attached below

ASA Test : Triangles to be congruent by ASA test we required two angles should be  congruent and one side between that two angles.