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Find the measure of the angle which is double of its complementary angle?
- a)60°
- b)30°
- c)45°
- d)120°
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Find the measure of the angle which is double of its complementary ang...
Understanding Complementary Angles
Complementary angles are two angles whose measures add up to 90 degrees. If we denote the angle we are looking for as "x," then its complementary angle can be expressed as "90 - x."
Setting Up the Equation
According to the problem, the angle "x" is double its complementary angle. Therefore, we can set up the equation as follows:
- x = 2(90 - x)
Solving the Equation
Now, let's solve this equation step by step:
- Distribute the 2:
x = 180 - 2x
- Move the term involving x to one side of the equation:
x + 2x = 180
3x = 180
- Divide both sides by 3:
x = 60
Conclusion
The measure of the angle which is double of its complementary angle is 60 degrees.
Verification
To ensure the solution is correct, we can check:
- The complementary angle of 60 degrees is:
90 - 60 = 30 degrees
- Is 60 degrees double of 30 degrees?
Yes, 60 = 2 * 30.
Therefore, the answer is confirmed, and the correct option is A) 60°.
Complementary angles are two angles whose measures add up to 90 degrees. If we denote the angle we are looking for as "x," then its complementary angle can be expressed as "90 - x."
Setting Up the Equation
According to the problem, the angle "x" is double its complementary angle. Therefore, we can set up the equation as follows:
- x = 2(90 - x)
Solving the Equation
Now, let's solve this equation step by step:
- Distribute the 2:
x = 180 - 2x
- Move the term involving x to one side of the equation:
x + 2x = 180
3x = 180
- Divide both sides by 3:
x = 60
Conclusion
The measure of the angle which is double of its complementary angle is 60 degrees.
Verification
To ensure the solution is correct, we can check:
- The complementary angle of 60 degrees is:
90 - 60 = 30 degrees
- Is 60 degrees double of 30 degrees?
Yes, 60 = 2 * 30.
Therefore, the answer is confirmed, and the correct option is A) 60°.
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Community Answer
Find the measure of the angle which is double of its complementary ang...
x° = 2(90° – x°) ⇒ x° = 60°.
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Find the measure of the angle which is double of its complementary angle?a)60°b)30°c)45°d)120°Correct answer is option 'A'. Can you explain this answer? for Class 7 2025 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about Find the measure of the angle which is double of its complementary angle?a)60°b)30°c)45°d)120°Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 7 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the measure of the angle which is double of its complementary angle?a)60°b)30°c)45°d)120°Correct answer is option 'A'. Can you explain this answer?.
Find the measure of the angle which is double of its complementary angle?a)60°b)30°c)45°d)120°Correct answer is option 'A'. Can you explain this answer? for Class 7 2025 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about Find the measure of the angle which is double of its complementary angle?a)60°b)30°c)45°d)120°Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 7 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the measure of the angle which is double of its complementary angle?a)60°b)30°c)45°d)120°Correct answer is option 'A'. Can you explain this answer?.
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