Question

Find the value of x.

Short answer

The value of x is$90°$.

Step-by-step solution

Step 1. Given Information.

The figure is shown below.

Step 2. Formula used.

The angle sum properties of quadrilateral is as follows:

$\angle A+\angle B+\angle D+\angle C=360°$

Step 3. Calculation.

According to angle sum properties of quadrilateral,

$\angle A+\angle B+\angle D+\angle C=360°$

Substituting the value of angles,

$\begin{array}{c}x°+x°+x°+x°=360°\\ 4x°=360°\\ x°=\frac{360°}{4}\\ =90°\end{array}$

Angles are;

$\angle A=\angle B=\angle C=\angle D=x°=90°$

Step 3. Conclusion.

The value of x is$90°$.