Question

What is the value of x?

Answer 1

D. 16

Explanation:

1. Because these are vertical angles (opposite pair of angles that are formed by intersecting lines), these are congruent. That means (8x-8) = (7x+8).

2. (Solving)

Step 1: Subtract 7x from both sides.

• 
  `8x-8-7x=7x+8-7x`
• 
  `x-8=8`

Step 2: Add 8 to both sides.

• 
  `x - 8 + 8 = 8 + 8`
• 
  `x = 16`

Step 3: Check if solution is correct.

• 
  `8(16)-8=7(16)+8`
• 
  `128-8 = 112+8`
• 
  `120 = 120`

Therefore, the answer is D. 16.