Respuesta :

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]

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