Two parallel lines are cut by a transversal. angle 1 measures (4x + 28)°, and the angle adjacent to the alternate exterior angle with angle 1 measures (14x + 8)°. what is the value of x?

The value of x is 8

Step-by-step explanation:

In the figure below,

The alternate exterior angles are  1 and 2

Alternate Exterior Angles are a pair of angles that lie on the  outer side of each of those two lines but on opposite sides of the transversal and they are equal

Also  angle 2 and 3 are adjacent and supplementary angle and their sum is equal to 180 degrees

Given that

Now we know that

We also know that

x = 8

Now

equal to

step-by-step explanation:

sine

step-by-step explanation: