Step-by-step explanation:
Given information:
A fence on a hill uses vertical posts L and M to hold parallel rails N and P
The diagram is attached below
Here lines N and P are parallel lines
Transversal line for parallel lines N and P is line L
Calculation:
angle 1 and angle 16 are consecutive exterior angles
If parallel lines are cut by a transversal then consecutive exterior angles are supplementary
[tex]<1 +<16=180\\115+<16=180\\<16 = 180-115\\<16=65[/tex]
So measurement of angle 16 = 65 degrees
