Question

Two posts that hold up a sign are parallel. M < 1 = 75° use the given measurements to find the value of x. I think it’s 19 but prob wrong

Answer 1

angle 1 (given =75 degrees) and 4x are both interior angles between the parallel posts cut by the transversal (probably the ground).

Interior angles between parallel lines are supplementary, meaning they add up to 180 degrees, which allows us to form the following equation;

4x+75=180

solving for x

4x=180-75=105 degrees

x=105/4=26.25 degrees

(19 is a little under, you may have divided 75 by 4 instead of using supplementary angles).

Answer 2

The two posts are parallel lines. The ground is a transversal.

The angles measuring 4x and 75 are same side interior angles, so they are supplementary. Their measures add up to 180.

4x + 75 = 180

4x = 105

x = 26.25