Question

A fence on a hill uses vertical posts L and M to hold parallel rails N and P. If m∠1 = 115, then what is the measure of ∠16?

Answer 1

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

`<1 +<16=180\\115+<16=180\\<16 = 180-115\\<16=65`

So measurement of angle 16 = 65 degrees