To determine whether △FHG is similar to △PRQ, we can use the AA (Angle-Angle) Similarity Theorem.
We know:
- ∠H = ∠P = 38 degrees
- ∠G = ∠Q = 41 degrees
Since both triangles have two angles equal, by the AA Similarity Theorem, the two triangles are similar.
Therefore, the answer is:
yes because of the AA Similarity Theorem.