Final answer:
The value of x can be found by setting the equation 136 + (7x + 9) = 180, simplifying, and solving for x, resulting in x = 5.
Step-by-step explanation:
The subject of this question involves the Consecutive Interior Angles Theorem, which is a concept in geometry. To find the value of "x", we need to use the fact that consecutive interior angles, when the lines are parallel, are supplementary, meaning they add up to 180 degrees.
Given that one of the angles is 136 degrees and the other is represented as (7x + 9), we can set up the equation:
136 + (7x + 9) = 180
Now, we combine like terms and solve for x:
145 + 7x = 180
Subtracting 145 from both sides, we get:
7x = 35
Finally, dividing both sides by 7 yields:
x = 5