Using concepts for when two parallel lines are cut by a transversal, it is found that the value of x is of 25.
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- The top angles at the two lines congruent, thus, the top-right angle at line f is also of (2x + 10)º.
- The top-right angle of a line is also congruent to the bottom-left angle, which is of (3x - 15)º.
Thus:
[tex]2x + 10 = 3x - 15[/tex]
[tex]3x - 2x = 10 + 15[/tex]
[tex]x = 25[/tex]
The value of x is of 25.
A similar problem is given at https://brainly.com/question/16742265