Question

3. A fence on a hill uses vertical posts L and M to hold parallel rails N and P. <4 and <14 are alternate exterior angles. What is the transversal?

Answer 1

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.

<1 +< 16 = 180

115+ < 16 = 180

< 16 = 180 - 15

< 16 = 65

So measurement of angle 16 = 65 degrees.