- 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
The angles of a quadrilateral are in the ratio $3: 4: 5: 6$. Find the measure of the angles.
Given :
The angles of a quadrilateral are in the ratio $3:4:5:6$.
To do :
We have to find the measure of the angles.
Solution :
Let the angles be 3x,4x,5x and 6x. Because $3x:4x:5x:6x = 3:4:5:6$.
We know that,
The sum of the angles in a quadrilateral is 360 degrees.
Therefore,
$3x+4x+5x+6x=360$ degrees
$18x=360$
$x= \frac{360}{18}$
$x=20°$.
The measure of the angles is $3(20)=60$ degrees, $4(20)=80$ degrees, $5(20)=100$ degrees and $6(20)=120$ dgerees.
Therefore, the measure of angles is $60°, 80°, 100°, 120°$.
Advertisements