To find the equation for the two adjacent angles given as \( (2x + 3) \) and \( (x - 6) \), you typically set their sum equal to \( 180^\circ \) if they are supplementary angles or to \( 90^\circ \) if they are complementary angles.
Assuming these angles are supplementary:
\[ (2x + 3) + (x - 6) = 180 \]
Now combine like terms:
\[ 2x + 3 + x - 6 = 180 \]
This simplifies to:
\[ 3x - 3 = 180 \]
Now, add 3 to both sides:
\[ 3x = 183 \]
Then divide by 3:
\[ x = 61 \]
So, the equation is:
\[ (2x + 3) + (x - 6) = 180 \]
If these angles are not supplementary, please clarify their relationship (for example, complementary).