- 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
If an angle is $30^o$ more than one half of its complement, find the measure of the angle.
Given:
An angle is $30^o$ more than one half of its complement.
To do:
We have to find the measure of the angle.
Solution:
An angle is said to be the complement of another angle if the sum of both the angles is $90^o$.
If $x$ is an angle, then its complement is $90^o - x$.
Let the required angle be $x$.
This implies,
Complement of angle $x=90^o-x$
According to the question,
$x=\frac{1}{2}(90^o-x)+30^o$
$x=\frac{90^o-x+60^o}{2}$
$2x=150^o-x$
$3x=150^o$
$x=\frac{150^o}{3}$
$x=50^o$
Hence, the required angle is $50^o$.
Advertisements
To Continue Learning Please Login
Login with Google