If the degree measures of vertical angles aed and ceb are represented by (3x+20) and (8x-5), find the value of x

Hello! 3x + 20 and 8x - 5 are equal. To find the value of "x", we should set up and solve an equation. It would be written like this:

3x + 20 = 8x - 5

First off, subtract 3x from both sides in order to get 20 = 5x - 5. Add 5 to both sides to get 25 = 5x. Now, divide each side by 5 to isolate the "x". 25/5 is 5. Now, let's plug in the value and see if it works. 3 * 5 is 15. 15 + 20 is 35. 8 * 5 is 40. 40 - 5 is 35. 35 = 35. There. x = 5.