Question

find the value of x.

Explanation:

Step1: Recall quadrilateral angle sum

A quadrilateral's interior angles sum to \(360^\circ\).

Step2: Sum known angles

Known angles: \(54^\circ\), \(107^\circ\), \(117^\circ\). Their sum: \(54 + 107 + 117 = 278^\circ\).

Step3: Solve for \(x\)

Let \(x\) be the unknown angle. Then \(x + 278 = 360\). So \(x = 360 - 278 = 82\).

Answer:

\(x = 82\)