Angle n = 40 degrees, side np = 8, angle q = 40 degrees, and side qs = 8. what additional information would you need to prove that δnop ≅ δqrs by asa?

1.angle o is congruent to angle r.
2. angle p is congruent to angle s.
3. side no is congruent to side qr.
4.side op is congruent to side rs.

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.

me

step-by-step explanation:

d is the correct answer

step-by-step explanation:

x= 8 because 3x = 3 * 8, and 3*8 = 24