To solve for \( x \) in the two adjacent angles, we know that the sum of the angles must equal 90°. The measures of the angles are \( x° \) and \( (x + 30)° \).
We can set up the equation:
\[ x + (x + 30) = 90 \]
Simplifying this, we get:
\[ 2x + 30 = 90 \]
Next, subtract 30 from both sides:
\[ 2x = 60 \]
Now, divide by 2:
\[ x = 30 \]
So, the value of \( x \) is 30.