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

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

△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

△BAC∼△HIJ

Answer 1

To find the similarity statement between the two triangles based on their angles, we can check the corresponding angles.

For triangle ABC:

• \( m\angle A = 48^\circ \)
• \( m\angle B = 17^\circ \)
• \( m\angle C = 115^\circ \)

For triangle HIJ:

• \( m\angle H = 17^\circ \)
• \( m\angle I = 48^\circ \)
• \( m\angle J = 115^\circ \)

Now, let's align the angles between the two triangles based on their measures:

• \( m\angle A (48^\circ) \) corresponds to \( m\angle I (48^\circ) \)
• \( m\angle B (17^\circ) \) corresponds to \( m\angle H (17^\circ) \)
• \( m\angle C (115^\circ) \) corresponds to \( m\angle J (115^\circ) \)

Based on the matching of angles, we can conclude:

• \( \triangle ABC \sim \triangle HIJ \)

Thus, the correct similarity statement is:

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