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.
- [tex]8x-8-7x=7x+8-7x[/tex]
- [tex]x-8=8[/tex]
Step 2: Add 8 to both sides.
- [tex]x - 8 + 8 = 8 + 8[/tex]
- [tex]x = 16[/tex]
Step 3: Check if solution is correct.
- [tex]8(16)-8=7(16)+8[/tex]
- [tex]128-8 = 112+8[/tex]
- [tex]120 = 120[/tex]
Therefore, the answer is D. 16.
