Question

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 1

95 degrees

Explanation:

The sum of the two angles 10 and 7 must be 180 degrees, so 180-85 = 95 degrees.

Answer 2

m∠7 = 95°

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°