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
triangle upper B upper C upper A tilde triangle upper J upper I upper H

Answer 1

To determine the correct similarity statement between the two triangles based on their angle measures, we need to match the corresponding angles of the triangles.

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 match the angles based on their values:
- \( m∠A (48°) \) corresponds to \( m∠I (48°) \)
- \( m∠B (17°) \) corresponds to \( m∠H (17°) \)
- \( m∠C (115°) \) corresponds to \( m∠J (115°) \)

The corresponding angles indicate that:

- Angle A corresponds to angle I.
- Angle B corresponds to angle H.
- Angle C corresponds to angle J.

Thus, the correct similarity statement is:

\[
△ABC ∼ △HIJ
\]

Therefore, the answer is:

**△ABC∼△HIJ**