To find the measures of the two angles, we start by using the information that they form a right angle. A right angle measures 90 degrees.
The two angles are:
- First angle: \( x \) degrees
- Second angle: \( x + 30 \) degrees
We can set up the equation:
\[ x + (x + 30) = 90 \]
Simplifying this:
\[ x + x + 30 = 90 \] \[ 2x + 30 = 90 \] \[ 2x = 90 - 30 \] \[ 2x = 60 \] \[ x = 30 \]
Now we find the measures of the two angles:
- First angle: \( x = 30 \) degrees
- Second angle: \( x + 30 = 30 + 30 = 60 \) degrees
Thus, the two angles are 30° and 60°.
The correct answer is:
A. 30° and 60°