To find the measure of angle \( ∠P \) in triangle \( ΔOPQ \) based on the congruence \( ΔOPQ ≅ ΔRST \), we can use the fact that corresponding angles in congruent triangles are equal.
Since \( ΔOPQ ≅ ΔRST \):
- \( ∠R \) in triangle \( RST \) corresponds to \( ∠P \) in triangle \( OPQ \).
- The measures of \( ∠T \) and \( ∠R \) are given as 44 degrees and 26 degrees, respectively.
First, we need to find the measure of \( ∠S \) in triangle \( RST \). We can use the fact that the sum of interior angles in any triangle is 180 degrees:
\[ ∠R + ∠S + ∠T = 180° \]
Substituting the values we know:
\[ 26° + ∠S + 44° = 180° \]
Now, combine the angles:
\[ 70° + ∠S = 180° \]
Subtract 70° from both sides:
\[ ∠S = 180° - 70° = 110° \]
Now, since \( ΔOPQ ≅ ΔRST \), the angles correspond as follows:
- \( ∠R \) corresponds to \( ∠P \)
- \( ∠S \) corresponds to \( ∠Q \)
- \( ∠T \) corresponds to \( ∠O \)
Since we have already found \( ∠R = 26° \), we conclude that \( ∠P \) is also:
\[ ∠P = ∠R = 26° \]
Thus, the measure of \( ∠P \) is:
\[ \boxed{26} \] degrees.