Question

A fence on a hill uses vertical posts L and M

Answer 1

Given:

`N\left|\right|P\text{ and }\angle1=115^(\circ)`

The vertical poles L and M are transversal lines.

To find: The measure of angle 16.

Step-by-step 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,

`\begin{gathered} \angle1+\angle16=180 \\ 115+\angle16=180 \\ \angle16=180-115 \\ \angle16=65^(\circ) \end{gathered}`

The measure of an angle 16 is 65 degrees.

Final answer: The measure of an angle is,

`\angle16=65^(\circ)`