Question

are the two triangles similar? how do you know?
clear my selection
yes, by aa~
yes, by sas~
no
yes, by sss~

Explanation:

Step1: Identify vertical angles

Vertical angles are equal. So, \(\angle GMH=\angle KML\) (vertical angles).

Step2: Apply AA similarity criterion

We have two angles: \(\angle H = \angle K=42^{\circ}\) and \(\angle GMH=\angle KML\). By the AA (Angle - Angle) similarity criterion, if two angles of one triangle are equal to two angles of another triangle, the triangles are similar.

Answer:

yes, by AA~