Question

solve for x to make a||b. (15x + 30)° 75° a b x = ?

Explanation:

Step1: Identify angle - relationship

When \(A\parallel B\), the angles \((15x + 30)^{\circ}\) and \(75^{\circ}\) are corresponding angles and are equal. So, \(15x+30 = 75\).

Step2: Solve the equation for \(x\)

Subtract 30 from both sides: \(15x=75 - 30\), so \(15x = 45\).

Step3: Isolate \(x\)

Divide both sides by 15: \(x=\frac{45}{15}\).

Answer:

\(x = 3\)