Answer:
Step-by-step explanation:
ΔVWX is an isosceles triangle.
∠V ≅∠W = 20
20 + 20 + ∠X = 180
        ∠X = 180 - 40
        ∠x = 140
In ΔPQR
∠P + 20 + 80 = 180  {Angle sum property of triangle}
∠P + 100 = 180
    ∠P =  180 - 100
   ∠P = 80
In ΔSTV is an isosceles triangle.
∠S ≅ ∠T = 80°
∠V + 80 + 80 = 180
∠V + 160    = 180
      ∠V = 180 - 160
      ∠V = 20°
In ΔPRQ & ΔSTV
∠P ≅ ∠S = 80°
∠R ≅ ∠T = 80°
∠Q ≅ ∠v = 20°
ΔPRQ  ` ΔSTV  are similar by AAA congruent
