Answer:
x = 8, ∠PAC = 40, ∠TAC = 50
8, 40, 50
Step-by-step explanation:
1. Solving for x:
Step 1: Set up the equation.
- [tex]5x + 7x - 6 = 90[/tex]
Step 2: Combine like terms.
Step 3: Add 6 to both sides.
- [tex]12x - 6 + 6 = 90 + 6[/tex]
- [tex]12x = 96[/tex]
Step 4: Divide both sides by 12.
- [tex]\frac{12x}{12} = \frac{96}{12}[/tex]
- [tex]x = 8[/tex]
2. Now that we know the value of x, we can plug it in for each angle.
Therefore, the answer is 8, 40, 50.
