Answer: x=27
Explanation:
To find the value of x in the given scenario, we can use the property of corresponding angles when two lines are parallel.
Given that m is parallel to nm, we know that the corresponding angles have the same measure. Looking at the diagram, we see that the angle labeled (6x-4)° is corresponding to the angle labeled (5x+23)°.
Setting up an equation based on the corresponding angles:
6x - 4 = 5x + 23
To solve for x, we can simplify the equation:
6x - 5x = 23 + 4
x = 27
Therefore, the value of x is 27.
I hope this helps :)