Answer:
The value of x is 17.
Step-by-step explanation:
The angles in a straight line add up to 180 degrees. Therefore, we can set up the following equation:
(5x + 4) + (4x - 18) + (2x + 7) = 180
Solving this equation will give us the value of x. Let’s do the math:
First, combine like terms:
11x - 7 = 180
Next, add 7 to both sides of the equation:
11x = 187
Finally, divide both sides by 11:
x = 187 / 11
So, the value of x is 17.