To find the measures of the two angles that make up the straight line (180°), we can set up the equation based on the given expressions for the angles.
Let the two angles be:
- First angle: \( (2x + 3)° \)
- Second angle: \( (x - 6)° \)
Since they form a straight line, we can set up the following equation:
\[ (2x + 3) + (x - 6) = 180 \]
Now, combine the 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:
- For the first angle:
\[ 2x + 3 = 2(61) + 3 = 122 + 3 = 125° \]
- For the second angle:
\[ x - 6 = 61 - 6 = 55° \]
Therefore, the measures of the two angles are \( 125° \) and \( 55° \).
The correct response is: 125° and 55°.