- Data Structure
- Networking
- RDBMS
- Operating System
- Java
- MS Excel
- iOS
- HTML
- CSS
- Android
- Python
- C Programming
- C++
- C#
- MongoDB
- MySQL
- Javascript
- PHP
- Physics
- Chemistry
- Biology
- Mathematics
- English
- Economics
- Psychology
- Social Studies
- Fashion Studies
- Legal Studies
- Selected Reading
- UPSC IAS Exams Notes
- Developer's Best Practices
- Questions and Answers
- Effective Resume Writing
- HR Interview Questions
- Computer Glossary
- Who is Who
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.
Advertisements