Question

solve for x to make a||b.
a
(3x + 3)°
b
(16x + 6)°
x = ?

Explanation:

Step1: Use the property of alternate interior angles

When \(A\parallel B\), the sum of \((3x + 3)^{\circ}\) and \((16x+6)^{\circ}\) is \(180^{\circ}\) (supplementary angles). So, \(3x + 3+16x + 6=180\).

Step2: Combine like - terms

Combine the \(x\) terms and the constant terms: \((3x+16x)+(3 + 6)=180\), which simplifies to \(19x+9 = 180\).

Step3: Isolate the \(x\) term

Subtract \(9\) from both sides: \(19x=180 - 9\), so \(19x=171\).

Step4: Solve for \(x\)

Divide both sides by \(19\): \(x=\frac{171}{19}\), and \(x = 7\).

Answer:

\(x = 7\)