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)
1.△BAC∼△HIJ
2.△ABC∼△HIJ
3.△BCA∼△JIH
4.△CAB∼△JHI
2. △ABC∼△HIJ
The correct answer is 2. △ABC∼△HIJ.
In similar triangles, the corresponding angles are equal. In this case, both triangles have angles of 17°, 48°, and 115°. So, the corresponding angles between the two triangles are equal, indicating that they are similar. Therefore, the correct similarity statement is △ABC∼△HIJ.