Question

A fence on a hill uses vertical posts L and M to hold parallel rails N and P. If m?10 = 85, then what is the measure of ?7?

Answer 1

the measure of angle 7 is 95 degrees

Explanation:

A fence on a hill uses vertical posts L and M to hold parallel rails N and P

The diagram is attached below

N is parallel to P

measurement of angle 10 is 85 degree

angle 10 and angle 7 are consecutive interior angles

consecutive interior angles are supplementary

`<10 +<7 = 180`

`85 + <7 = 180`

Subtract 85 on both sides

So <7 = 180- 85 = 95

the measure of angle 7 is 95 degrees