To find the measures of the two adjacent angles that make up the straight line, we start with the equation given:
\[ (2x + 3) + (x - 6) = 180° \]
Now, combine like terms:
\[ 2x + 3 + x - 6 = 180° \]
This simplifies to:
\[ 3x - 3 = 180° \]
Next, add 3 to both sides:
\[ 3x = 183° \]
Now, divide by 3:
\[ x = 61° \]
Now that we have the value of \( x \), we can find the measures of the two angles:
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First angle: \[ 2x + 3 = 2(61) + 3 = 122 + 3 = 125° \]
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Second angle: \[ x - 6 = 61 - 6 = 55° \]
Thus, the measures of the two angles are \( 125° \) and \( 55° \).
The correct response is: 125° and 55°.