UPSC Exam > UPSC Questions > Find the measure of an angle supplement is eq...
Start Learning for Free
Find the measure of an angle supplement is equal to the angle itself?
Most Upvoted Answer
Find the measure of an angle supplement is equal to the angle itself?
Understanding Supplementary Angles
Supplementary angles are defined as two angles whose measures add up to 180 degrees. If we denote an angle as x, its supplement would be (180 - x).
Finding the Angle
To find the angle whose supplement is equal to the angle itself, we can set up the following equation:
- x = 180 - x
Solving the Equation
1. Combine like terms:
- x + x = 180
- 2x = 180
2. Divide both sides by 2:
- x = 90
Conclusion
The angle whose supplement is equal to the angle itself is:
- 90 degrees
Key Points
- An angle and its supplement must always sum to 180 degrees.
- The only angle that satisfies the condition x = 180 - x is 90 degrees.
- This angle is unique because it is both an angle and its own supplement.
In summary, the measure of an angle whose supplement is equal to the angle itself is 90 degrees. This is the only angle that fulfills this condition in the realm of supplementary angles.
Supplementary angles are defined as two angles whose measures add up to 180 degrees. If we denote an angle as x, its supplement would be (180 - x).
Finding the Angle
To find the angle whose supplement is equal to the angle itself, we can set up the following equation:
- x = 180 - x
Solving the Equation
1. Combine like terms:
- x + x = 180
- 2x = 180
2. Divide both sides by 2:
- x = 90
Conclusion
The angle whose supplement is equal to the angle itself is:
- 90 degrees
Key Points
- An angle and its supplement must always sum to 180 degrees.
- The only angle that satisfies the condition x = 180 - x is 90 degrees.
- This angle is unique because it is both an angle and its own supplement.
In summary, the measure of an angle whose supplement is equal to the angle itself is 90 degrees. This is the only angle that fulfills this condition in the realm of supplementary angles.
|
Explore Courses for UPSC exam
|
|
Similar UPSC Doubts
Top Courses for UPSCView all
Find the measure of an angle supplement is equal to the angle itself?
Question Description
Find the measure of an angle supplement is equal to the angle itself? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Find the measure of an angle supplement is equal to the angle itself? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the measure of an angle supplement is equal to the angle itself?.
Find the measure of an angle supplement is equal to the angle itself? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Find the measure of an angle supplement is equal to the angle itself? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the measure of an angle supplement is equal to the angle itself?.
Solutions for Find the measure of an angle supplement is equal to the angle itself? in English & in Hindi are available as part of our courses for UPSC.
Download more important topics, notes, lectures and mock test series for UPSC Exam by signing up for free.
Here you can find the meaning of Find the measure of an angle supplement is equal to the angle itself? defined & explained in the simplest way possible. Besides giving the explanation of
Find the measure of an angle supplement is equal to the angle itself?, a detailed solution for Find the measure of an angle supplement is equal to the angle itself? has been provided alongside types of Find the measure of an angle supplement is equal to the angle itself? theory, EduRev gives you an
ample number of questions to practice Find the measure of an angle supplement is equal to the angle itself? tests, examples and also practice UPSC tests.
|
|
Explore Courses for UPSC exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup