How To Solve*:
For the Angle-Side-Angle Triangle Congruence Postulate to hold, two angles of a triangle and the side contained between these two angles must be respectively equal to two angles of another triangle and the side contained between them.
Solving:
In the given figures, there are two congruent angles - ∠Q≅∠H and ∠R≅∠I. Now, for the ASA Congruence Postulate to hold, the sides included between the angles have to be congruent. In the figures, the sides between ∠Q and ∠R and ∠H and ∠I, are, respectively, line segments QR and HI.
So, QR and HI must be congruent for the triangles to be congruent.
*This section has been paraphrased from Cuemath.com.