Question

find the value of x.

Explanation:

Step1: Recall the sum of interior angles of a quadrilateral.

The sum of the interior angles of a quadrilateral is \(360^\circ\). So we can write the equation: \(x + 122 + 77 + 81 = 360\).

Step2: Calculate the sum of the known angles.

First, add the known angles: \(122 + 77 + 81 = 280\).

Step3: Solve for \(x\).

Subtract the sum of the known angles from \(360^\circ\): \(x = 360 - 280\).

Answer:

\(x = 80\)