Question

Which best explains the relationship between the two triangles below?

Triangle D C A. Angle D is 51.2 degrees and angle A is 96.5 degrees. Triangle S R T. Angle S is 32.3 degrees and angle R is 96.5 degrees.
Triangle A D C is similar to triangle R T S because Angle A is congruent to angle R, Angle C is congruent to angle S, and Angle D is congruent to angle T.
Triangle A D C is similar to triangle R T S because Angle A is similar to angle R, Angle C is similar to angle S, and Angle D is similar to angle T.
Triangle A D C is not similar to Triangle R T S because Angle D is not congruent to Angle S.
Triangle A D C is not similar to Triangle R T S because C D less than S T, D A less than T R, and C A less than S R.

Answer 1

The first choice. The triangles are similar by AA: A = 96.5° = R, C = 32.3° = S (since 180−(96.5+51.2)=32.3), and D = 51.2° = T, so A↔R, C↔S, D↔T.