If the measure of angle 2 is represented by 6x + 8 and the measure of angle 6 is represented by 8x - 6. what is the value of x?

Hi there! Angles 2 and 6 have the same measurements.To find the value of "x", we can write and solve an equation. Set it up like this:

6x + 8 = 8x - 6

Subtract 8x from both sides to get -2x + 8 = -6. Subtract 8 from both sides to get -2x = -14. Now, divide each side by -2 to isolate the "x". Because you are dividing a negative by a negative, your quotient will be positive. -14/-2 is 7. Let's plug in this value and see if it works. 6 * 7 is 42. 42 + 8 is 50. 8 * 7 is 56. 56 - 6 is 50. 50 = 50. There. x = 7.