To find the measures of the two angles that form a right angle, we know that the sum of the two angles must equal 90 degrees (since a right angle measures 90 degrees).
Let the first angle be \( x \) degrees and the second angle be \( x + 30 \) degrees. We can set up the following equation:
\[ x + (x + 30) = 90 \]
Combining like terms, we get:
\[ 2x + 30 = 90 \]
Next, subtract 30 from both sides:
\[ 2x = 60 \]
Now, divide both sides by 2:
\[ x = 30 \]
Now we can find the measures of the two angles:
- The first angle is \( x = 30^\circ \).
- The second angle is \( x + 30 = 30 + 30 = 60^\circ \).
Therefore, the two angle measures are 30 degrees and 60 degrees.
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