Question

6 solve for x: quadrilateral wxyz with angles at x: 100°, y: 130°, z: 66°, and w: x° x =

Explanation:

Step1: Recall quadrilateral angle sum

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

Step2: Sum known angles

Known angles: \(100^\circ\), \(130^\circ\), \(66^\circ\). Their sum: \(100 + 130 + 66 = 296^\circ\).

Step3: Solve for x

Let \(x\) be the unknown angle. Then \(x + 296 = 360\). Subtract: \(x = 360 - 296 = 64\).

Answer:

\(64\)