Question

Solve for x in the diagram

Answer 1

x = 7

Explanation:

1. 10x + 5 and 15x - 30 are vertical angles because the sets of line are parallel, indicating they have the same intersection. If they're vertical angles, that means they have the same amount of degrees.

2. We can write an equation to solve for x:
`10x + 5 = 15x - 30`

3. (Solving)

Step 1: Subtract 5 from both sides.

• 
  `10x + 5 - 5 = 15x - 30 - 5`
• 
  `10x = 15x - 35`

Step 2: Subtract 15x from both sides

• 
  `10x - 15x = 15x -35 - 15x`
• 
  `-5x = -35`

Step 3: Divide both sides by -5.

• 
  `(-5x)/(5) = (-35)/(-5)`
• 
  `x = 7`

Therefore, x = 7.