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

Answer:
95 degrees
Step-by-step explanation:
The sum of the two angles 10 and 7 must be 180 degrees, so 180-85 = 95 degrees.
Answer:
m∠7 = 95°
Step-by-step explanation:
From the figure attached,
Rails N and P are parallel and vertical post L works as transverse.
Therefore, by the property of parallel lines, sum of interior angles formed by the transverse are supplementary.
In other words, ∠7 and ∠10 are interior angles and both are supplementary angles.
m∠7 + m∠10 = 180°
Since m∠10 = 85°
m∠7 + 85 = 180
m∠7 = 180 - 85
m∠7 = 95°