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DUE SOON PLEASE HELP
Are any of the Triangles shown below mathematically similar?
Please demonstrate your knowledge of similar triangles by a written
explanation of your answer using mathematical reasoning. The relationship
between each of the three triangles is worth 5 points each.

(I know that Triangle PRQ is 180-80-20= 80 degrees for angle P. I’m stuck on the other two triangles)

DUE SOON PLEASE HELP Are Any Of The Triangles Shown Below Mathematically Similar Please Demonstrate Your Knowledge Of Similar Triangles By A Written Explanation class=

Sagot :

devishri1977

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

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