To convert the temperature from degrees Celsius to degrees Fahrenheit using the formula \( F = 9 \frac{5}{9}C + 32 \), we plug in the value of \( C \):
Given \( C = 25 \):
\[ F = 9 \times 25 + 32 \]
Calculating \( 9 \times 25 \):
\[ 9 \times 25 = 225 \]
Now adding 32:
\[ F = 225 + 32 = 257 \]
So the temperature in degrees Fahrenheit is:
\[ \boxed{257} \]