Question

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

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

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

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

△BCA∼△JIH

Answer 1

To determine the appropriate similarity statement between the two triangles based on their angles, we first need to match the angles of each triangle.

For triangle ABC:
- \( m\angle A = 48^\circ \)
- \( m\angle B = 17^\circ \)
- \( m\angle C = 115^\circ \)

For triangle HIJ:
- \( m\angle H = 17^\circ \)
- \( m\angle I = 48^\circ \)
- \( m\angle J = 115^\circ \)

When we match the angles:
- \( \angle A \) (48°) corresponds to \( \angle I \) (48°)
- \( \angle B \) (17°) corresponds to \( \angle H \) (17°)
- \( \angle C \) (115°) corresponds to \( \angle J \) (115°)

Thus, we can set up the similarity relationship based on the correspondence of angles:
- \( \angle A \) corresponds to \( \angle I \)
- \( \angle B \) corresponds to \( \angle H \)
- \( \angle C \) corresponds to \( \angle J \)

From this correspondence, we find that:
- Triangle ABC is similar to triangle HIJ.

Therefore, the correct similarity statement is:

**△ABC∼△HIJ**

So, the answer is:
**triangle upper A upper B upper C tilde triangle upper H upper I upper J**