For two adjacent angles with measurements \( x \) and \( x + 30 \) degrees, we can analyze their relationship:
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Sum of angles: Since they are adjacent angles, their relationship could be evaluated based on additional information. If they are supplementary angles (which means they add up to 180 degrees), we can set up the equation:
\[ x + (x + 30) = 180 \]
Simplifying this gives us:
\[ 2x + 30 = 180 \] \[ 2x = 150 \] \[ x = 75 \]
Consequently, the measurements of the angles would be \( 75^\circ \) and \( 105^\circ \).
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If the angles are complementary (which means they add up to 90 degrees), we can set up the equation:
\[ x + (x + 30) = 90 \] Simplifying this gives us:
\[ 2x + 30 = 90 \] \[ 2x = 60 \] \[ x = 30 \]
The measurements of the angles would then be \( 30^\circ \) and \( 60^\circ \).
If no specific relationship is provided, we can only state the angular measurements as \( x \) and \( x + 30 \) without any conclusion regarding their sum. Please provide more context if a particular relationship is intended.