Answer:
y = 9
Step-by-step explanation:
1. We know that the line the angles fall on is a straight angle, meaning it's worth 180°.
2. Given the information above, 8y + 96 + 12 = 180.
3. (Solving equation above).
Step 1: Simplify both sides of the equation.
- [tex](8y)+(96+12)=180[/tex]
- [tex]8y + 108=180[/tex]
Step 2: Subtract 108 from both sides.
- [tex]8y + 108 - 108 = 180 - 108[/tex]
- [tex]8y = 72[/tex]
Step 3: Divide both sides by 8.
- [tex]\frac{8y}{8}=\frac{72}{8}[/tex]
- [tex]y = 9[/tex]
Step 4: Check if solution is correct.
- [tex]8(9)+96+12=180[/tex]
- [tex]72+96+12=180[/tex]
- [tex]168+12=180[/tex]
- [tex]180=180[/tex]
Therefore, y = 9.
