To find the measures of the two angles, we start with the information given.
We have two adjacent angles, one measuring \( x \) degrees and the other measuring \( x + 30 \) degrees. Since they form a right angle, their sum must equal 90 degrees:
\[ x + (x + 30) = 90 \]
This simplifies to:
\[ 2x + 30 = 90 \]
Now, subtract 30 from both sides:
\[ 2x = 60 \]
Then, divide both sides by 2:
\[ x = 30 \]
Now we can find the measures of the angles:
- The first angle is \( x = 30° \).
- The second angle is \( x + 30 = 30 + 30 = 60° \).
Thus, the two angles are \( 30° \) and \( 60° \).
The correct response is 30° and 60°.