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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.
Updated on: 10-Oct-2022
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