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# Find the measure of each of the angles of the quadrilateral whose each pair of adjacent sides are equal and when angle is $90^{o}$.

**Given:**A quadrilateral whose each pair of adjacent sides are equal and one angle is $90^{o}$.

**To do:**To find the measure of each of the angles of the quadrilateral.

**Solution:**

$\angle A=90^{o}$ [given]

$\angle B=90^{o}$ [adjacent angles are $180^{o}$ and $( 180^{o}-A)$ i.e, $180^{o}-90^{o}=90^{o}$]

$\angle C=90^{o}$ [opposite angles are equal $\angle A=\angle C$]

$\angle D=90^{o}$ [opposite angles are equal $\angle B=\angle D$]

Thus, all angles are $90^{o}$ if one angle is $90^{o}$.

The quadrilateral is a rectangle.

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