If ΔPRQ

To determine if the two triangles ΔPRQ and ΔFGH are similar based on the given angle measures, we can use the Angle-Angle (AA) similarity criterion.

For ΔPRQ:
- ∠P = 30°
- ∠R = 127°
- Therefore, ∠Q = 180° - (30° + 127°) = 180° - 157° = 23°

For ΔFGH:
- ∠H = 30°
- ∠G = 23°
- Therefore, ∠F = 180° - (30° + 23°) = 180° - 53° = 127°

Now we can see that:
- ∠P = ∠H = 30°
- ∠R = ∠F = 127°
- ∠Q = ∠G = 23°

Since the two triangles have two pairs of corresponding angles equal, we can conclude the triangles are similar by the AA criterion.

The correct response would be:

**AA**