Question

In the figure, m ll n. If the measure of angle 8 is (4x +7) and the measure of angle 2 is 107 degrees, what is the value of x? Explain.

Answer 1

Given:

$\begin{gathered} m\angle8=4x+7 \\ m\angle2=107 \end{gathered}$$\begin{gathered} 4x+7+107=180\degree \\ 4x+114=180 \\ 4x=180-114 \\ 4x=66 \\ x=16.5 \end{gathered}$