Question

determine whether the triangles are similar by aa-, sss-, sas-, or not similar.

Explanation:

Step1: Check the Angle - Angle (AA) similarity criterion

The AA similarity criterion states that if two angles of one triangle are equal to two angles of another triangle, then the two triangles are similar. In the given triangles, we can observe that one pair of angles is \(61^{\circ}\) in both triangles. Also, the vertical angles (the angles at point \(H\)) are equal. Since two pairs of angles are equal, the AA - (Angle - Angle) similarity criterion is satisfied.

Answer:

AA~