Question

What is the value of x in the equations Measure E = 5x + 10 and Measure F = 7x - 12, where Measure E and Measure F are vertical angles?

Answer 1

The value of x is 11

Step-by-step explanation:

To find the value of x in the equations Measure E = 5x + 10 and Measure F = 7x - 12, where Measure E and Measure F are vertical angles, we can set the two equations equal to each other:

5x + 10 = 7x - 12

Next, we can simplify the equation by subtracting 5x from both sides:

10 = 2x - 12

Then, we can add 12 to both sides:

22 = 2x

Finally, we can divide both sides by 2 to solve for x:

x = 11