Which similarity statement describes the relationship between a triangle with angles m∠A=48°

Question

, m∠B=17°
, and m∠C=115°
and another triangle with angles m∠H=17°
, m∠I=48°
, and m∠J=115°
?(1 point)
Responses

△ABC∼△HIJ
triangle upper A upper B upper C tilde triangle upper H upper I upper J

△BCA∼△JIH
triangle upper B upper C upper A tilde triangle upper J upper I upper H

△CAB∼△JHI
triangle upper C upper A upper B tilde triangle upper J upper H upper I

△BAC∼△HIJ

Answer 1

To determine the similarity between the two triangles based on their angles, we can take a look at the given angle measures.

For triangle ABC:

• m∠A = 48°
• m∠B = 17°
• m∠C = 115°

For triangle HIJ:

• m∠H = 17°
• m∠I = 48°
• m∠J = 115°

Now we can observe that the angles from triangle ABC can be matched with those from triangle HIJ as follows:

• m∠A (48°) corresponds to m∠I (48°)
• m∠B (17°) corresponds to m∠H (17°)
• m∠C (115°) corresponds to m∠J (115°)

Since all corresponding angles are equal, the triangles are similar.

The similarity statement that describes the relationship is: △ABC∼△HIJ (triangle ABC is similar to triangle HIJ).

So, the correct answer is: △ABC∼△HIJ.