Question

Use the diagram to answer the following questions.125°Lx2X+10NmZNPMdegreesmZLPMdegrees

Answer 1

For the angle MPN we know that is oposite to the angle QPL so the will be equal so:

$\angle MPN=125º$

Now with the value of MPN we can made an equation for x so:

$125=2x+10$

and we solve for x

$\begin{gathered} 125-10=2x \\ \frac{115}{2}=x \\ 57.5=x \end{gathered}$

and the angle LPM will be the complementari angle of 125 so:

$\begin{gathered} \angle LPM=180-125 \\ \angle LPM=55º \end{gathered}$