Find the value of x. then find the measure of each labeled angle.

20

4x will be 80

5x will be 100

Step-by-step explanation:

So those two how pink arrows means those opposite sides are parallel.

The side at the bottom is acting as a transversal through the parallel lines.

The angle that has measurement 5x and the one that has 4x are actually same-side interior angles; some people like to call it consecutive angles.

These angles add up to be 180 degrees when dealing with parallel lines.

So we have 5x+4x=180

which means 9x=180

Divide both sides by 9 giving us x=180/9

x=180/9=20.

The angle labeled 4x will then be 4(20) which is 80.

The angle labeled 5x will then by 5(20) which is 100.