Question

11, 56°, (4x + 112)° (with intersecting lines: vertical and slanted)

Explanation:

Step1: Identify supplementary angles

The two angles \(56^\circ\) and \((4x + 112)^\circ\) are supplementary (they form a linear pair), so their sum is \(180^\circ\).
\[56 + (4x + 112) = 180\]

Step2: Simplify the equation

Combine like terms:
\[4x + 168 = 180\]

Step3: Solve for \(x\)

Subtract 168 from both sides:
\[4x = 180 - 168\]
\[4x = 12\]
Divide both sides by 4:
\[x = \frac{12}{4}\]
\[x = 3\]

Answer:

\(x = 3\)