The similarity statement that describes the relationship between the two triangles is that they are similar by the Angle-Angle (AA) similarity criterion.
In the first triangle, the angles are:
- m∠A = 48°
- m∠B = 17°
- m∠C = 115°
In the second triangle, the angles are:
- m∠H = 17°
- m∠I = 48°
- m∠J = 115°
Since both triangles have the same set of angles, they are similar. The similarity statement can be written as:
\(\triangle ABC \sim \triangle HIJ\)
This indicates that triangle ABC is similar to triangle HIJ, since the corresponding angles are equal:
- \(\angle A \leftrightarrow \angle I\)
- \(\angle B \leftrightarrow \angle H\)
- \(\angle C \leftrightarrow \angle J\)