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Find the angle, which is equal to its complement.
- a)45°
- b)25°
- c)35°
- d)30°
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
Find the angle, which is equal to its complement.a)45°b)25°c)3...
Let one of the two equal complementary angles be x.
Thus, 45o is equal to its complement.
Thus, 45o is equal to its complement.
Most Upvoted Answer
Find the angle, which is equal to its complement.a)45°b)25°c)3...
Sum of any two complementary angles is
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Find the angle, which is equal to its complement.a)45°b)25°c)3...
Understanding Complements of Angles
An angle's complement is defined as the amount by which it falls short of 90 degrees. Therefore, if an angle is "x" degrees, its complement can be expressed as (90 - x) degrees.
Setting Up the Equation
To find the angle that is equal to its complement, we can set up the following equation:
- Let the angle be x degrees.
- The complement of the angle is (90 - x) degrees.
Since we want to find the angle such that it is equal to its complement, we write:
- x = 90 - x
Solve the Equation
Now, let's solve the equation step by step:
- Add x to both sides:
x + x = 90
2x = 90
- Now, divide both sides by 2:
x = 90 / 2
x = 45
Conclusion
Thus, the angle that is equal to its complement is 45 degrees.
Answer Choices Analysis
Now, let's analyze the given options:
- a) 45° - This is correct.
- b) 25° - This does not equal its complement (90 - 25 = 65).
- c) 35° - This does not equal its complement (90 - 35 = 55).
- d) 30° - This does not equal its complement (90 - 30 = 60).
Therefore, the correct answer is indeed option 'A': 45°.
An angle's complement is defined as the amount by which it falls short of 90 degrees. Therefore, if an angle is "x" degrees, its complement can be expressed as (90 - x) degrees.
Setting Up the Equation
To find the angle that is equal to its complement, we can set up the following equation:
- Let the angle be x degrees.
- The complement of the angle is (90 - x) degrees.
Since we want to find the angle such that it is equal to its complement, we write:
- x = 90 - x
Solve the Equation
Now, let's solve the equation step by step:
- Add x to both sides:
x + x = 90
2x = 90
- Now, divide both sides by 2:
x = 90 / 2
x = 45
Conclusion
Thus, the angle that is equal to its complement is 45 degrees.
Answer Choices Analysis
Now, let's analyze the given options:
- a) 45° - This is correct.
- b) 25° - This does not equal its complement (90 - 25 = 65).
- c) 35° - This does not equal its complement (90 - 35 = 55).
- d) 30° - This does not equal its complement (90 - 30 = 60).
Therefore, the correct answer is indeed option 'A': 45°.
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Find the angle, which is equal to its complement.a)45°b)25°c)35°d)30°Correct answer is option 'A'. Can you explain this answer?
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Find the angle, which is equal to its complement.a)45°b)25°c)35°d)30°Correct answer is option 'A'. Can you explain this answer? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about Find the angle, which is equal to its complement.a)45°b)25°c)35°d)30°Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the angle, which is equal to its complement.a)45°b)25°c)35°d)30°Correct answer is option 'A'. Can you explain this answer?.
Find the angle, which is equal to its complement.a)45°b)25°c)35°d)30°Correct answer is option 'A'. Can you explain this answer? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about Find the angle, which is equal to its complement.a)45°b)25°c)35°d)30°Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the angle, which is equal to its complement.a)45°b)25°c)35°d)30°Correct answer is option 'A'. Can you explain this answer?.
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