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Q.19

Expert-verifiedFound in: Page 545

Book edition
Common Core Edition

Author(s)
Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff

Pages
183 pages

ISBN
9780547587776

The figure is shown below.

**The angle sum properties of quadrilateral is as follows:**

$\angle A+\angle B+\angle D+\angle C=360\xb0$

According to angle sum properties of quadrilateral,

$\angle A+\angle B+\angle D+\angle C=360\xb0$

Substituting the value of angles,

$\begin{array}{c}x\xb0+x\xb0+x\xb0+x\xb0=360\xb0\\ 4x\xb0=360\xb0\\ x\xb0=\frac{360\xb0}{4}\\ =90\xb0\end{array}$

Angles are;

$\angle A=\angle B=\angle C=\angle D=x\xb0=90\xb0$

The value of *x* is$90\xb0$.

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