Question

continued hips shown in each diagram to complete the eq 68° 112° (4x + 12)° 13 4x + 12 = __ x = __

Explanation:

Step1: Identify angle - relationship

The angle \(4x + 12\) and the \(112^{\circ}\) angle are corresponding angles (assuming the lines are parallel as is common in such geometric set - ups). Corresponding angles are equal. So \(4x+12 = 112\).

Step2: Solve for \(x\)

First, subtract 12 from both sides of the equation \(4x + 12=112\). We get \(4x=112 - 12\), so \(4x = 100\). Then divide both sides by 4: \(x=\frac{100}{4}=25\).

Answer:

\(4x + 12 = 112\), \(x = 25\)