Question

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°
)?(1 point)
Responses

△RST∼△ECD

triangle upper R upper S upper T tilde triangle upper E upper C upper D

△RST≅△CED

triangle upper R upper S upper T congruent to triangle upper C upper E upper D

△RST∼△CED

triangle upper R upper S upper T tilde triangle upper C upper E upper D

△RST≅△ECD

Answer 1

△RST ∼ △ECD

Reason: In △RST, m∠R = 29°, m∠T = 71°, so m∠S = 180° − 29° − 71° = 80°. In △CDE, m∠C = 80°, m∠D = 71°, m∠E = 29°. So R↔E, S↔C, T↔D, making △RST ∼ △ECD.