Question

What is the measure of ∠ 1 if ∠ 1 is (2x-3) and ∠is (8x)

Answer 1

We know that:

$\angle1+\angle2=180\degree$

Then we have:

$\begin{gathered} (2x-3)\degree+(8x)\degree=180\degree \\ (10x)\degree-3\degree=180\degree \\ (10x)\degree=183\degree \\ x=\frac{183\degree}{10} \\ x=18.3\degree \\ \angle1=2\cdot18.3\degree-3\degree \\ \angle1=33.6\degree \end{gathered}$