Question

what is the value of \x\ in the figure?
11
10
8
9

Explanation:

Step1: Recall the sum of interior angles of a quadrilateral

The sum of interior angles of a quadrilateral is \(360^{\circ}\).

Step2: Set up the equation

We have \(92 + 96+95 + 7x=360\).
First, add the known angles: \(92 + 96+95=283\). So the equation becomes \(283+7x = 360\).

Step3: Solve for \(x\)

Subtract \(283\) from both sides: \(7x=360 - 283\), so \(7x = 77\).
Divide both sides by \(7\): \(x=\frac{77}{7}=11\).

Answer:

11