Which similarity statement describes a triangle with angles m∠G=118°

Question

, m∠H=25°
, and m∠J=37°
and another triangle with angles m∠B=37°
, m∠C=25°
, and m∠A=118°
?(1 point)
Responses

m△GHJ=m△ACB
m triangle upper G upper H upper J equals m triangle upper A upper C upper B

m△GHJ≅m△ACB
m triangle upper G upper H upper J congruent to m triangle upper A upper C upper B

△GHJ≅△ACB
triangle upper G upper H upper J congruent to triangle upper A upper C upper B

△GHJ∼△ACB

Answer 1

To determine the correct similarity statement, we need to analyze the given angles of the two triangles.

For triangle \( \triangle GHJ \):

• \( m∠G = 118° \)
• \( m∠H = 25° \)
• \( m∠J = 37° \)

For triangle \( \triangle ACB \):

• \( m∠A = 118° \)
• \( m∠C = 25° \)
• \( m∠B = 37° \)

Since both triangles have the same angle measures, they are similar because the corresponding angles are equal.

The correct statement describing their similarity is:

\[ \triangle GHJ \sim \triangle ACB \]

Thus, the answer is: \(\triangle GHJ \sim \triangle ACB\)