Answer:
x = 14
Step-by-step explanation:
1. We know that all angle measures in a triangle sum to 180 degrees.
- This means that 7x - 11 + 5x - 2 + 2x - 3 = 180.
2. (Solving)
Step 1: Combine like terms.
- [tex](7x+5x+2x)+(-11-2-3)=180[/tex]
- [tex]14x -16 = 180[/tex]
Step 2: Add 16 to both sides.
- [tex]14x - 16 + 16 = 180 + 16[/tex]
- [tex]14x = 196[/tex]
Step 3: Divide both sides by 14.
- [tex]\frac{14x}{14}=\frac{196}{14}[/tex]
- [tex]x = 14[/tex]
Step 2: Check if solution is correct.
- [tex]7(14)-11+5(14)-2+2(14)-3=180[/tex]
- [tex]98-11+70-2+28-3=180[/tex]
- [tex]180=180[/tex]
Therefore, the answer is x = 14.