A fence on a hill uses vertical posts L and M

Given:
[tex]N\left|\right|P\text{ and }\angle1=115^{\circ}[/tex]The vertical poles L and M are transversal lines.
To find: The measure of angle 16.
Explanation:
As we know,
The sum of the two exterior angles between parallel lines crossed by the transversal line is 180 degrees.
So, we can write it as,
[tex]\begin{gathered} \angle1+\angle16=180 \\ 115+\angle16=180 \\ \angle16=180-115 \\ \angle16=65^{\circ} \end{gathered}[/tex]The measure of an angle 16 is 65 degrees.
Final answer: The measure of an angle is,
[tex]\angle16=65^{\circ}[/tex]