Question

use the polygon sum to solve for x.

Explanation:

Step1: Recall the polygon sum formula

The sum of interior angles of a quadrilateral (\(n = 4\)) is \((n - 2)\times180^{\circ}=(4 - 2)\times180^{\circ}=360^{\circ}\).

Step2: Set up the equation

Let the unknown angle be \(x\). Then \(x+110^{\circ}+79^{\circ}+55^{\circ}=360^{\circ}\).

Step3: Solve for \(x\)

First, add the known angles: \(110 + 79+55=244\). Then \(x=360 - 244\).

Answer:

\(x = 116^{\circ}\)