Question

Can somebody help with this problem??:,)

Answer 1

x = 8, ∠PAC = 40, ∠TAC = 50

8, 40, 50

Explanation:

1. Solving for x:

Step 1: Set up the equation.

• 
  `5x + 7x - 6 = 90`

Step 2: Combine like terms.

• 
  `12x - 6 = 90`

Step 3: Add 6 to both sides.

• 
  `12x - 6 + 6 = 90 + 6`
• 
  `12x = 96`

Step 4: Divide both sides by 12.

• 
  `(12x)/(12) = (96)/(12)`
• 
  `x = 8`

2. Now that we know the value of x, we can plug it in for each angle.

• ∠PAC = 5(8)
• ∠PAC = 40°

• ∠TAC = 7(8) - 6

• ∠TAC = 56 - 6

• ∠TAC = 50°

Therefore, the answer is 8, 40, 50.