SSC CGL Exam > SSC CGL Questions > An angle is equal to one-third of its supplem...
Start Learning for Free
An angle is equal to one-third of its supplement. Its measure is equal to :
- a)40°
- b)50°
- c)45°
- d)55°
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
An angle is equal to one-third of its supplement. Its measure is equal...
Understanding Supplementary Angles
When two angles are supplementary, their measures add up to 180 degrees. If we denote the angle we are trying to find as 'x', its supplement would be '180 - x'.
Setting Up the Equation
According to the problem, the angle 'x' is equal to one-third of its supplement. This can be expressed mathematically as:
- x = (1/3)(180 - x)
Solving the Equation
Now, let's solve for 'x':
1. Multiply both sides by 3 to eliminate the fraction:
- 3x = 180 - x
2. Add 'x' to both sides:
- 3x + x = 180
- 4x = 180
3. Divide both sides by 4:
- x = 180 / 4
- x = 45
Conclusion
The measure of the angle is 45 degrees. Therefore, the correct answer is option 'C'.
Verification
To ensure our solution is correct, we can check:
- The supplement of 45 degrees is:
- 180 - 45 = 135 degrees
- One-third of the supplement:
- (1/3) * 135 = 45 degrees
Since both calculations match, the solution is confirmed. Thus, the angle measure that satisfies the condition is indeed 45 degrees.
When two angles are supplementary, their measures add up to 180 degrees. If we denote the angle we are trying to find as 'x', its supplement would be '180 - x'.
Setting Up the Equation
According to the problem, the angle 'x' is equal to one-third of its supplement. This can be expressed mathematically as:
- x = (1/3)(180 - x)
Solving the Equation
Now, let's solve for 'x':
1. Multiply both sides by 3 to eliminate the fraction:
- 3x = 180 - x
2. Add 'x' to both sides:
- 3x + x = 180
- 4x = 180
3. Divide both sides by 4:
- x = 180 / 4
- x = 45
Conclusion
The measure of the angle is 45 degrees. Therefore, the correct answer is option 'C'.
Verification
To ensure our solution is correct, we can check:
- The supplement of 45 degrees is:
- 180 - 45 = 135 degrees
- One-third of the supplement:
- (1/3) * 135 = 45 degrees
Since both calculations match, the solution is confirmed. Thus, the angle measure that satisfies the condition is indeed 45 degrees.
Free Test
FREE
| Start Free Test |
Community Answer
An angle is equal to one-third of its supplement. Its measure is equal...
Let the measured of the required angle be P degree.
Then, its supplement = 180 – P
Now use the formula,
3P + P180°
⇒ P = 45°
Then, its supplement = 180 – P
Now use the formula,
3P + P180°
⇒ P = 45°
|
Explore Courses for SSC CGL exam
|
|
Top Courses for SSC CGLView all
Question Description
An angle is equal to one-third of its supplement. Its measure is equal to :a)40°b)50°c)45°d)55°Correct answer is option 'C'. Can you explain this answer? for SSC CGL 2025 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about An angle is equal to one-third of its supplement. Its measure is equal to :a)40°b)50°c)45°d)55°Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for SSC CGL 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An angle is equal to one-third of its supplement. Its measure is equal to :a)40°b)50°c)45°d)55°Correct answer is option 'C'. Can you explain this answer?.
An angle is equal to one-third of its supplement. Its measure is equal to :a)40°b)50°c)45°d)55°Correct answer is option 'C'. Can you explain this answer? for SSC CGL 2025 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about An angle is equal to one-third of its supplement. Its measure is equal to :a)40°b)50°c)45°d)55°Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for SSC CGL 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An angle is equal to one-third of its supplement. Its measure is equal to :a)40°b)50°c)45°d)55°Correct answer is option 'C'. Can you explain this answer?.
Solutions for An angle is equal to one-third of its supplement. Its measure is equal to :a)40°b)50°c)45°d)55°Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for SSC CGL.
Download more important topics, notes, lectures and mock test series for SSC CGL Exam by signing up for free.
Here you can find the meaning of An angle is equal to one-third of its supplement. Its measure is equal to :a)40°b)50°c)45°d)55°Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
An angle is equal to one-third of its supplement. Its measure is equal to :a)40°b)50°c)45°d)55°Correct answer is option 'C'. Can you explain this answer?, a detailed solution for An angle is equal to one-third of its supplement. Its measure is equal to :a)40°b)50°c)45°d)55°Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of An angle is equal to one-third of its supplement. Its measure is equal to :a)40°b)50°c)45°d)55°Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice An angle is equal to one-third of its supplement. Its measure is equal to :a)40°b)50°c)45°d)55°Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice SSC CGL tests.
|
|
Explore Courses for SSC CGL 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