Question

1. solve for x. (13x + 2)° (5x - 7)° (3x - 4)°

Explanation:

Step1: Use the triangle angle - sum theorem

The sum of the interior angles of a triangle is \(180^{\circ}\). So, \((13x + 2)+(5x - 7)+(3x - 4)=180\).

Step2: Combine like terms

Combine the \(x\) - terms and the constant terms: \((13x+5x + 3x)+(2-7 - 4)=180\).
\(21x-9 = 180\).

Step3: Isolate the variable term

Add \(9\) to both sides of the equation: \(21x-9 + 9=180 + 9\).
\(21x=189\).

Step4: Solve for \(x\)

Divide both sides by \(21\): \(x=\frac{189}{21}\).
\(x = 9\).

Answer:

\(x = 9\)