Question

If m angle1=(3x+22)^ and m angle2=(2x+8)^ what is the measure of angle1

Answer 1

The angles m1 and m2 are supplementary, which means that they add up to 180°. So:

$\begin{gathered} \angle1+\angle2=180\degree \\ (3x+22)\degree+(2x+8)\degree=180\degree \\ 3x+2x+22+8=180 \\ 5x+30=180 \\ 5x=180-30=150 \\ x=\frac{150}{5}=30 \end{gathered}$

With x calculated, we can calculate m1:

$\angle1=(3x+22)\degree=(3\cdot30+22)\degree=(90+22)\degree=112\degree$