Question

Which statement about ARST and AMNP must be true?​

Answer 1

Answer:

C) ΔRST ~ ΔMNP

Step-by-step explanation:

Similar triangles:

Here, the two triangles are similar by AAA similarity.

In ΔRST,

    ∠S + 90 + 61 = 180 {Angle sum property of triangle}

         ∠S             = 180 - 151

                      ∠S = 29°

In ΔMNP,

      ∠P = 180 - (90 + 29)    {Angle sum property of Δ}

            = 180 - 119

            = 61°

In both triangles,

     ∠R ≅ ∠M = 90°

     ∠S ≅ ∠N = 29°

    ∠T ≅ ∠P = 61°

ΔRST and ΔMNP are similar triangles by AAA similarity.