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

Question

asked Feb 1, 2023 168k views

1 Answer

Marcelwgn · Answer 1 · 2023-02-06T13:35:32+0000

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:

and we solve for x

$\begin{gathered} 125-10=2x \\ (115)/(2)=x \\ 57.5=x \end{gathered}$

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

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