Question

What is the value of x?

Answer 1

Answer:

D. 16

Step-by-step 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.