what is da equatione for these two adjacent angles?

Question

( 2x + 3 ) + ( x - 6 ) = ____

Answer 1

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).