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)

△RST≅△CED


△RST∼△ECD


△RST≅△ECD


△RST∼△CED

Answer 1

△RST ∼ △ECD

Reason: m∠R = 29°, m∠S = 80°, m∠T = 71°. Triangle CED has angles E = 29°, C = 80°, D = 71°, so corresponding angles R↔E, S↔C, T↔D are equal (AA), hence the triangles are similar.