- 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
An angle is $ \frac{1}{5} $ of its supplement. What is the degree measure of the angle?
Given :
An angle is $\frac{1}{5}$ of its supplement.
To do :
We have to find the degree measure of the angle.
Solution :
Supplementary angles:
Two angles are said to be supplementary if the sum of their measures is $180^o$.
Let the measure of the supplementary angle be $x$.
This implies,
The measure of the given angle $= \frac{1}{5}(x)$.
Therefore,
$x +\frac{1}{5} x = 180^o$
$\frac{(5+1)}{5} x = 180^o$
$\frac{6}{5} x = 180^o$
$6x = 5(180^o)$
$6x = 900^o$
$x = \frac{900^o}{6}$
$x = 150^o$
Therefore, the measures of the angles are $150^o$ and $\frac{1}{5}(150)^o = 30^o$.
The measure of the required angle is $30^o$.
Advertisements