• :00Days
• :00Hours
• :00Mins
• 00Seconds
A new era for learning is coming soon

Suggested languages for you:

Americas

Europe

Q.19

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$90°$.

## Recommended explanations on Math Textbooks

94% of StudySmarter users get better grades.