Question

DUE SOON PLEASE HELP

Answer 1

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