Question

find the value of x. 112° (3x + 11)° a b

Explanation:

Step1: Identify angle - relationship

The two angles are corresponding angles. For parallel lines \(a\) and \(b\), corresponding angles are equal. So \(112^{\circ}=(3x + 11)^{\circ}\).

Step2: Solve the equation

Subtract 11 from both sides of the equation \(112=3x + 11\). We get \(112-11 = 3x\), which simplifies to \(101 = 3x\).

Step3: Isolate \(x\)

Divide both sides by 3. So \(x=\frac{101}{3}\approx33.67\).

Answer:

\(x = \frac{101}{3}\)