Explanation:
Here's how to solve the problem:
- In the diagram, we have two parallel lines e and f, intersected by a transversal line. The angles are labeled with measurements: 72 degrees, 100 degrees, and (13x) degrees.
- The angle (13x) is an alternate interior angle, which means it is congruent to the angle that is opposite to it. Therefore, we can set up an equation as follows:
13x = 100
- We can solve for x by dividing both sides of the equation by 13:
x = 100 / 13
- Therefore, the solution for x is 7.69 (rounded to two decimal places).
I hope this helps!