Which similarity statement is true for a triangle with angles R , S , and T (where m∠R=29° and m∠T=71° ) and another triangle with angles C , D , and E (where m∠D=71° and m∠C=80° )?

The similarity statement that is true for these two triangles is:

∆RST ~ ∆DEC

Incorrect the answer would be △RST∼△ECD

Apologies for the mistake. You are correct.

The correct similarity statement for the triangles with angles R, S, T and C, D, E would be:

∆RST ~ ∆ECD