To find the value of \( x \), we can set up the equation based on the information given. The two angles are \( x \) degrees and \( x + 30 \) degrees, and they add up to \( 90^\circ \):
\[ x + (x + 30) = 90 \]
Now, we simplify the equation:
\[ 2x + 30 = 90 \]
Next, subtract 30 from both sides:
\[ 2x = 90 - 30 \] \[ 2x = 60 \]
Now, divide both sides by 2:
\[ x = 30 \]
Thus, the value of \( x \) is \( \boxed{30} \).