Find the value of x.

Question

Image shows a right angle cut in half diagonally. The top half of the angle shows an equation: (7x - 5)°
The bottom half shows the following equation: (x + 3)°

Answer 1

To solve for x, we set the top half of the angle equal to the bottom half of the angle:

(7x - 5)° = (x + 3)°

Now we can solve for x.

First, we remove the degrees sign as it is not relevant to the calculation:

7x - 5 = x + 3

Next, we can isolate the variable x by subtracting x from both sides of the equation:

7x - x - 5 = 3

Simplifying, we have:

6x - 5 = 3

Now, we add 5 to both sides:

6x - 5 + 5 = 3 + 5

Simplifying further:

6x = 8

Finally, we divide both sides by 6 to solve for x:

6x/6 = 8/6

x = 4/3

Thus, the value of x is 4/3.