Given:
The measure of angle LPO is 158°.
Required:
To find the angle MPN and LPN.
Explanation:
The total angle is 158.
Therefore,
[tex]\begin{gathered} \angle LPO=\angle LPM+\angle MPN+NPO \\ \\ 158\degree=36\degree+\angle MPN+45\degree \\ \\ \angle MPN=158\degree-36\degree-45\degree \\ \\ =77\degree \end{gathered}[/tex]
Now,
[tex]\begin{gathered} \angle LPN=\angle LPM+\angle MPN \\ \\ \angle LPN=36\degree+77\degree \\ \\ =113\degree \end{gathered}[/tex]
Final Answer:
[tex]\begin{gathered} \angle MPN=77\degree \\ \angle LPN=113\degree \end{gathered}[/tex]
