Answer:
x = 10
Step-by-step explanation:
1. First, we should recognize that 6x and 5x + 10 are corresponding angles, meaning they occupy the same relative position. They're also congruent.
- This means that 6x = 5x + 10
2. (Solving)
Step 1: Subtract 5x from both sides.
- [tex]6x - 5x = 5x + 10 - 5x[/tex]
- [tex]x = 10[/tex]
Step 2: Check if solution is correct.
- [tex]6(10)=5(10)+10[/tex]
- [tex]60 = 50 + 10[/tex]
- [tex]60 = 60[/tex]
Therefore, x = 10.
