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Expert-verified Found in: Page 545 ### Pre-algebra

Book edition Common Core Edition
Author(s) Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff
Pages 183 pages
ISBN 9780547587776 # Find the value of x. The value of x is$90°$.

See the 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$90°$. ### Want to see more solutions like these? 