Afence 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

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°

77

step-by-step explanation: