Question

Solve for x. Then give the measure of both angles. (college)

Answer 1

Explanation

By definition, both angles are supplementary; namely, they add up to 180°. This fact gives us the equation

$(2x+6)+(x+3)=180\degree$

Let's solve it for x:

$\begin{gathered} (2x+x)+(6+3)=180\degree,\text{ rearrangement of the terms on the left} \\ 3x+9=180\degree, \\ 3x=171\degree, \\ x=\frac{171\degree}{3}, \\ x=57\degree\text{.} \end{gathered}$Answer

The value of x is

$x=57\degree\text{.}$

The values of the angles are