Question

Find the value of x.

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

Answer 1

To find the value of x, we can set the top half of the angle equal to the bottom half:

7x - 5 = x + 3

Now, let's solve for x:

Subtract x from both sides:

6x - 5 = 3

Add 5 to both sides:

6x = 8

Divide both sides by 6:

x = 8/6

Simplifying, we have:

x = 4/3

Therefore, the value of x is 4/3 or approximately 1.33.

Answer 2

but it has to add up to a right angle

Answer 3

Apologies for the confusion. To find the value of x that makes the sum of (7x - 5)° and (x + 3)° equal to a right angle, we set up the equation:

(7x - 5)° + (x + 3)° = 90°

Combine like terms:

8x - 2 = 90

Add 2 to both sides:

8x = 92

Divide both sides by 8:

x = 92/8

Simplifying, we have:

x = 11.5

Therefore, the value of x that makes the angle a right angle is 11.5.